If f(x) = 2x – 4,find f-1(x)
Answer
1 answer:
Answer:
f-1(x) = (x+4) / 2
Step-by-step explanation:
given f(x) = 2x – 4
let y = f(x) and rearrange to express x in terms of y
y = 2x – 4 (add 4 to each side)
y + 4 = 2x (divide both sides by 2)
(y+4) / 2 = x (rearrange)
x = (y+4) / 2
f-1(y) = (y+4) / 2
hence
f-1(x) = (x+4) / 2
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