Respuesta :

rdacoder

Answer: A. h(x) = 1/4x - 2

Step-by-step explanation:

f(x) = 4x + 8

find the inverse...

A.

[tex]h(x) = \frac{1}{4} x-2[/tex]

[tex]f(x) = 4(\frac{1}{4} x-2)+8[/tex]

[tex]f(x)=x-8+8[/tex]

[tex]f(x)=x[/tex]  

[tex]h(x) = \frac{1}{4} (4x+8)-2[/tex]

[tex]h(x)=x+2-2[/tex]

[tex]h(x)=x[/tex]

Since they both come out to 'x', they are inverses of each other.

f(x) = 4x + 8 and h(x) = 1/4x - 2 are inverses
f(X)=4x+8
Explanation: Interchange X and y
X=4y+8 swap the sides of the equation
4y+8=X Move the constant to the right-hand side and change its sign
4y=X-8 divide both sides
Answer: 1/4x-2

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