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Aleks [24]
2 years ago
10

What is the inverse of the function f(x) = 4x + 8?

Mathematics
2 answers:
Alex17521 [72]2 years ago
6 0
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
spin [16.1K]2 years ago
3 0

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

<u>the answer is </u>

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


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