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kati45 [8]
3 years ago
5

Given f(x) = 6x^4, find f^-1(x). Then state whether f^-1 (x) is a function.

Mathematics
1 answer:
goldenfox [79]3 years ago
5 0

Answer:

D. Y= +or- (x/6)^1/4 ; f^-1(x) is not a function

Step-by-step explanation:

A function g is the inverse of function f if for y=f(x), x=g(y).

y = 6x^4

Replace x with y:

x = 6y^4

Solve for y:

+or- x^1/4 = 6y

+or- (x/6)^1/4 = y

For each x there are 2 values of y: negative and positive. So, it is not a function.

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