Question

Which function has an inverse that is also a function?

Answer 1

Answer:

g(x) = 2x – 3 is the function has an inverse that is also a function.

The correct option is A.

Inverse function;

The inverse of a function is the equation where x and y have switched places.

Here g(x) = 2x - 3 has inverse x = 2y - 3 which simplifies to;

$y = \frac{x-3}{2}$

$y = \frac{1}{2} x - \frac{3}{2}$

k(x) = -$9x^{2}$ has the inverse x =$-9y^{2}$ which simplifies to;

$y =\sqrt{ \frac{x}{-9} }$

f(x) = |x+2| is an absolute value function.

w(x) = -20 does not have an inverse which is a function.

Therefore

The function has an inverse that is also a function is g(x) = 2x – 3.

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