FunctionHard

Question

If f(x) = 3x - 5, then f^-1(x)

Options

A.is given by

B.is given by

C.oes not exist because f is not one-one

D.oes not exist because f is not onto

Solution

Given f(x) = 3x - 5 (given)
Let y = f(x) = 3x - 5 ⇒ y + 5 = 3x
⇒

f^-1 (y) =

⇒ f^-1 (x) =

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