Respuesta :

apologiabiology
replace f(x) with y
swtich x and y
solve for y
replace y with f⁻¹(x)

f(x)=4x+8
y=4x+8
x=4y+8
x-8=4y
1/4x-2=y
y=1/4x-2
f⁻¹(x)=1/4x-2
none of the above
calculista

we have

[tex]f(x)=4x+8[/tex]

Step 1

Let

[tex]y=f(x)[/tex]

[tex]y=4x+8[/tex]

Step 2

exchanges the variable x for y and the variable y for x

[tex]x=4y+8[/tex]

Step 3

Isolate the variable y

[tex]4y=x-8[/tex]

[tex]y=\frac{1}{4}x-2[/tex]

Step 4

Let

[tex]h^{-1}(x)=y[/tex]

[tex]h^{-1}(x)=\frac{1}{4}x-2[/tex] ------> the inverse function

therefore

the answer is

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