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

What is the inverse of the function f(x) = 4x + 8?-example-1
User Thnetos
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2 Answers

9 votes
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
User Yanik Ceulemans
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11 votes

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

Explanation:

f(x) = 4x + 8

find the inverse...

A.


h(x) = (1)/(4) x-2


f(x) = 4((1)/(4) x-2)+8


f(x)=x-8+8


f(x)=x


h(x) = (1)/(4) (4x+8)-2


h(x)=x+2-2


h(x)=x

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

User Dylhunn
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