Question

Which of the following function pairs are inverses?

Answer 1

If the function f(x) = 5x – 3, then its inverse function g(x) will be (x + 3) / 5. Then the correct option is C.

What is inverse of a function?

Suppose that the given function is

f:X → Y

Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is

 f⁻¹: Y → X

such that:

$\forall \: x \in X : f(x) \in Y, \exists \: y \in Y : f^{-1}(y) \in X$

(and vice versa).

It simply means, inverse of 'f' is undo operator, that takes back the effect of 'f'.

If the f(x) = 5x - 3, then the inverse function of the f(x) will be

g(x) = f⁻¹(x)

Then we have

5g(x) - 3 = x

5g(x) = x + 3

g(x) = (x + 3) / 5

Then the correct option is C.

Learn more about inverse function here:

brainly.com/question/19425567

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