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If f(x)=5x, what is f^-1(x)?

A. f^-1(x)=-5x
B. f^-1(x)=-1/5x
C. f^-1(x)=1/5x
D. f^-1(x)=5x

Thanks!

1 Answer

2 votes

Answer:

C. f^-1(x) = 1/5x

Explanation:

You know that f^-1(f(x)) = x, so you can try the answers.

  • A: f^-1(5x) = -25x . . . . not it
  • B: f^-1(5x) = -x . . . . . . not it
  • C: f^-1(5x) = x . . . . . . . correct choice
  • D: f^-1(5x) = 25x . . . . not it

____

You can also solve for f^-1(x). It will be "y" when ...

f(y) = x

5y = x

y = 1/5x . . . . . divide by 5

User Alexander Tumanin
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