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Verified Answer :

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

\(f(x)=4x+8\)

Step 1

Let

\(y=f(x)\)

\(y=4x+8\)

Step 2

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

\(x=4y+8\)

Step 3

Isolate the variable y

\(4y=x-8\)

\(y=\frac{1}{4}x-2\)

Step 4

Let

\(h^{-1}(x)=y\)

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

therefore

the answer is

\(h^{-1}(x)=\frac{1}{4}x-2\)


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