SOLUTION: Find the domain of f(x)^-1 if f(x)=4x-8 A. x≠ 1/4 B. x≠ -4 C. x≠ 0 D. All real numbers

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Question 762478: Find the domain of f(x)^-1 if f(x)=4x-8

A. x≠ 1/4

B. x≠ -4

C. x≠ 0

D. All real numbers
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = 4x-8

y = 4x-8

x = 4y-8

x+8 = 4y

(x+8)/4 = y

y = (x+8)/4

y = (1/4)x+8/4

y = (1/4)x+2

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

This is a linear equation. So the domain is D. All real numbers