f(x) = x + 4 g(x) = 3x ^ 2 - 7 Find (fg)(x) .
Answer:
Step-by-step explanation:
(fg)(x) )
[tex](x+4)*(3x^{2} -7)[/tex]=[tex]3x^{3} -7x+12x^{2} -28[/tex] = [tex]3x^{3} +12x^{2} -7x-28[/tex]
Composite functions are functions that are gotten from combining multiple functions.
The value of the composite function (f o g)(x) is 3x^2 -3.
The functions are given as:
[tex]f(x) = x + 4[/tex]
[tex]g(x) = 3x^2 - 7[/tex]
To calculate the composite function (f o g)(x), we make use of:
[tex](f\ o\ g)(x) = f(g(x))[/tex]
We have:
[tex]f(x) = x + 4[/tex]
Substitute g(x) for x
[tex]f(g(x)) = g(x) + 4[/tex]
Substitute [tex]g(x) = 3x^2 - 7[/tex]
[tex]f(g(x)) = 3x^2 - 7 + 4[/tex]
[tex]f(g(x)) = 3x^2 -3[/tex]
Recall that:
[tex](f\ o\ g)(x) = f(g(x))[/tex]
So, we have:
[tex](f\ o\ g)(x) = 3x^2 -3[/tex]
Hence, the value of the composite function (f o g)(x) is 3x^2 -3.
Read more about composite functions at:
https://brainly.com/question/10687170
60 pts!!! HELP Find the inverse of the function f(x)= 4/9 x-4
show work
Answer:
Inverse Function: f^-1(x) = 9/4x + 9
Step-by-step explanation:
To find the inverse function we can interchange the position of the variables x and y, and then solve for y;
y = 4/9x - 4 => x = 4/9y - 4,
x = 4/9y - 4,
4/9y = x + 4,
y = 9/4x + 9/4(4),
y = 9/4x + 9/ f^-1(x) = 9/4x + 9
Please help! Will mark brainiest what’s the domain of H?
Answer:
Domain: (-5,5)
Step-by-step explanation:
HELP WILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
huh
ok
....................................
I need help with this
5. The price of a new gym bag is $37.00 plus 8% sales tax. What is the sales tax on this gym
bag in dollars and cents?
Answer:
$25.00 which is $24.50
Step-by-step explanation:
Changes made to your input should not affect the solution:
(1): Dot was discarded near "x.s".
(2): "37." was replaced by "(37/1)".
Unauthorized use of the imaginary unit "i" or syntax error in complex arithmetic expression
Please help I don’t know the answer!!!!!
Answer:
BC= 8
Step-by-step explanation:
When you are looking at length you can count all the units.
there are 8 units and the length of BC is 8
On a Given the planet The weight of an object varies directly with the mass of an object suppose that an object whose mass is 3KG weighs 24N Calculate the mass of another object that weighs 32N
Answer:
im too confused. What am i supposed to be doing?
Step-by-step explanation:
Answer:
The mass =32/24×3
The mass is 4kg
Step-by-step explanation:
im really slow help please
Solve the system of equations.
2x-3x=21 and -6x+2y=7
Answer:
(-21, -59.5)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
2x - 3x = 21
-6x + 2y = 7
Step 2: Solve for x
2x - 3x = 21
Combine like terms: -x = 21Isolate x: x = -21Step 3: Solve for y
Define equation: -6x + 2y = 7Substitute in x: -6(-21) + 2y = 7Multiply: 126 + 2y = 7Isolate y term: 2y = -119Isolate y: y = -59.5Find the area of a circle having circumference 176 cm...Pls answer this question...
Answer:
area of circle = 2464 cm²
Step-by-step explanation:
circumference = 176 cm
formula of circumference = 2πr
2πr = 176 cm
2 × 22/7 × r = 176 cm
44/7 ×r = 176 cm
r = 176 ÷ (44/7)
r = 176 × 7/44
r = 28 cm
area of circle
= πr²
= 22/7 × 28²
= 22/7 × 784
= 2464 cm²
a sandbox is in the shape of a right triangle. The two legs measure 9 inches and 16 inches. what is the perimeter of the sandbox?
Answer:
Perimeter = 50 inches
Step-by-step explanation:
Use pythagoreon theorem to find the hypotenuse
a^2 + b^2 = c^2
3^2 + 4^2 = 5^2
9 + 16 + 25 = perimeter
perimeter = 50
the survey report suggest that 2 out of three boy likes to play baseball what is the decimal expansion of two thirds
Write a linear function f with f(0)=3 and f(−6)=3.
f(x)=
Answer:
y = 3
Step-by-step explanation:
The equation of a line is;
y = mx + c
Now, when f(0) = 3, it means at x = 0, y = 3.
Thus;
3 = 0 + c
3 = c
Also, f(−6) = 3
Thus;
3 = -6m + 3
6m = 3 - 3
6m = 0
m = 0/6
m = 0
Thus,equation is;
y = c
y = 3
Andre took a trip from Boston, Massachusetts to Paris, France. In 6 2/3 hours, the plane flew 3,669 4/5 miles. How far had the plane traveled in 1 hour?
550 47/100 miles per hour.
Answer:
550.47
Step-by-step explanation:
3669 4/5 ÷ 6 2/3 = 550.47
Hope this helps:)
Can someone solve these by elimination?
Answer:
x=1 and y=2 for number 4
Step-by-step explanation:
which statement is true
Answer:
the answer is B that is
ΔABC is similar to ΔEDC
Step-by-step explanation:
look at the figure abc and edc completely match together as a is a right angle and is at the the first, similarly e is also a right angle and is at the first. also b is at the same place as d i.e. in between the right angle and the last angle.
moreover, c is at the last in abc just like in edc
A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 420 feet. Determine the flag's length and width if the length is 110 feet greater than the width. Use pencil and paper. Write three situations to which you could apply the resulting system of equations.
What is the length of the flag?
Answer:38
Step-by-step explanation:
Can someone pls help me :-(
Answer:
One: x = 3/32
Two: y = 3/10
Step-by-step explanation:
One
y = k*x
1/4 = k* 1/8 Multiply both sides by 8
8(1/4) = 8*k*(1/8)
8/4 = k
k = 2
=======================
3/16 = 2*x Divide by 2
3/32 = x
Two
y = 2/5
x = 1/3
2/5 = k * 1/3 Multiply both sides by 5
2 = 5*k * 1/3
2 = 5/3 * k Multiply both sides by 3
6 = 5 * k Divide both sides by 5
6/5 = k
y = 6/5 * x
x = 1/4
y = 6/5 * 1/4
y = 6/20 = 3/10
Last year, David opened an investment account with $6600. At the end of the year, the amount in the account had
Increased by 27.5%. How much is this increase in dollars? How much money was in his account at the end of last year?
Answer:1815 euros left
Step-by-step explanation:
You want to rent a television. Company A charges $40 per week plus a one-time fee of $25. Company B charges $35 per week plus a one-time fee of $45. After how many weeks are the total costs the same at both companies?
Answer:
4 weeks
Step-by-step explanation:
Company A charges $40 per week and a one time fee of $25
Company B charges $35 per week and a one time fee of $45
Therefore the number of weeks required for both companies to arrive at the same cost can be calculated as follows
Company A = 45 + 35×4
= 45 + 140
= 185
Company B = 25 + 40×4
= 25 + 160
= 185
Hence it will cost both companies 4 weeks
Factor by grouping.(7m + 2)(3m + 5) (7m – 2)(3m – 5) (7m – 2)(3m + 5) (7m + 2)(3m – 5)
Answer:
40m
Step-by-step explanation:
(7m+2+3m+5+7m-2+3m-5+7m-2+3m+5+7m+2+3m-5)
40m+0
40m
Please help!
A company dyes two sizes of rugs. A small rug requires 8 hours for dyeing and a medium-size rug requires 12 hours for dyeing. The dyers have to make at least 22 rugs, and they must do it in less than 240 hours. Let x equal small rugs and y equal medium rugs. Which of the following inequalities can be paired with x + y ≥ 22 to create a system that represents this situation? (5 points)
A. 8x + 12y > 240
B. 12x + 8y > 240
C. 8x + 12y < 240
D. 12x + 8y < 240
Answer:
c
Step-by-step explanation:
what's the common difference in −1,−4,−7,−10
Answer:
-3
Step-by-step explanation:
How do I solve this equation by completing the square. 4X^2 + 12x +5 = 21
x=2y-1
3x-3y=9
a. substitution; (7,4)
b. elimination using multiplication; (3, 2)
C. substitution; (4,7)
d. elimination using multiplication; -21,-10)
Answer: Substitution (7,4)
Step-by-step explanation: Since the value of X is given to us, just plug that in to the other equation to solve for the y coordinate.
Y=mx+
finish the equation
Its one of the options
M
B
F
C
Answer:
B
Step-by-step explanation:
The equation is y=mx+b
m=slope
b=y-intercept
Answer:
b
Step-by-step explanation:
The slope intercept form of a line is given by
y = mx+b where m is the slope and b is the y intercept
Kristen is building a pattern using triangles
Answer:
good for Kristen! lol
Step-by-step explanation:
glad she's enjoying herself! thanks for the points... have a good day!
Answer:
yrsese
Step-by-step explanation:
The number of water bottles used during a teams football practice varies directly with the temperature. If a team uses 75 water bottles when the temperature is 60 degrees, what is the temperature if they use 120 bottles?
Answer: If a team uses 75 water bottles when the temperature is 60 degrees, ( 75 - 15 = 60 )
I guess if they have 120 bottles, you'd have to take away 15 again, which = 105
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Sorry if i'm wrong
what is 7.0893 as a decimal but in expanded form
Answer:
expanded form: 7+0.08+0.009+0.0003
Step-by-step explanation:
7 = the ones place
0.08 = hundredths place
0.009 = thousandths place
0.0003= ten thousandths place