For the function f (x) = (4 - 2x) 2, find f-1 and the domain and range of f and f-1. Determine whether f-1 is a function.

Question

Tatiana Benjamin

Mathematics

23 July, 04:04

For the function f (x) = (4 - 2x) 2, find f-1 and the domain and range of f and f-1. Determine whether f-1 is a function.

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Answers (1)

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Ella Merritt · Answer 1

F (x) = (4 - 2x) 2 = 8 - 4x = > A linear Function

f (x - 1) = [4 - 2 (x - 1) ]2 = (4 - 2x + 2) 2 = (4 - 2x) + 4 = f (x) + 4 = 12 - 4x = > A Linear Function

Domain [f (x) ] = R

Domain [f (x - 1) ] = R

where, R is for Real Numbers.