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2 years ago

Let f(x) = 4x + 2 and g(x) = 2x2-4. Find the formula for the composition function gf.

1 answer:

4 0

G(f(x))=? g(x)=2x^2-4? hope this is what you mean
g(f(x))=2(4x+2)^2-4
g(f(x))=2(16x^2+16x+4)-4
g(f(x))=32x^2+32x+8-4
g(f(x))=32x^2+32x+4

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A triangle has an area of 36 square feet. If the height of the triangle is 6 more feet than its base, what is its height and bas

andriy [413]

If b is the base then the height h=b+6. As we have S=bh/2 then
36=b(b+6)/2;
b²+6b-72=0;
D/4=3²+72=81
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b₂=-3+9=6.
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2 years ago

jonah paid $25 for dues to a cub last year. This year he paid $35 for dues. By what percent did his dues increase

4vir4ik [10]

Answer:

40 % increase

Step-by-step explanation:

percent increase = (new - original)/ original

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3 years ago

What is the median test score? a)2.5 b)2 c)3 d)5

Xelga [282]

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Step-by-step explanation:

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7 0

2 years ago

Read 2 more answers

Find the square root of 68.1 to the nearest hundredth

Ira Lisetskai [31]

I think that is is 8.3, but I could be incorrect!

8 0

3 years ago

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PLS HELP! GIVING BRAINLIST!

svlad2 [7]

Answer:

We conclude that (4, 2) is NOT a solution to the system of equations.

Step-by-step explanation:

Given the system of equations

$y = x - 2$

$y = 3x + 4$

Important Tip:

In order to determine whether (4, 2) is a solution to the system of equations or not, we need to solve the system of equations.

Let us solve the system of equations using the elimination method.

$\begin{bmatrix}y=x-2\\ y=3x+4\end{bmatrix}$

Arrange equation variables for elimination

$\begin{bmatrix}y-x=-2\\ y-3x=4\end{bmatrix}$

Subtract the equations

$y-3x=4$

$-$

$\underline{y-x=-2}$

$-2x=6$

Now, solve -2x = 6 for x

$-2x=6$

Divide both sides by -2

$\frac{-2x}{-2}=\frac{6}{-2}$

Simplify

$x=-3$

For y - x = -2 plug in x = -3

$y-\left(-3\right)=-2$

$y+3=-2$

Subtract 3 from both sides

$y+3-3=-2-3$

Simplify

$y=-5$

The solution to the system of equations is:

(x, y) = (-3, -5)

Checking the graph

From the graph, it is also clear that (4, 2) is NOT a solution to the system of equations because (-3, -5) is the only solution as we have found earlier.

Therefore, we conclude that (4, 2) is NOT a solution to the system of equations.

8 0

2 years ago

Let f(x) = 4x + 2 and g(x) = 2x2-4. Find the formula for the composition function gf.​

Let f(x) = 4x + 2 and g(x) = 2x2-4. Find the formula for the composition function gf.