Question

Which function has an inverse that is also a function?

Answer 1

The function $x=\frac{y}{2}+\frac{3}{2}$ is an inverse function and also a linear function.

The given functions are $g(x)=2x-3, k(x)=-9x^{2} , f(x)=x+21$ and $w(x)=-20$.

What is a function?

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Now, $g(x)= 2x-3$

⇒$y= 2x-3$

⇒$2x=y+3$

⇒$x=\frac{y+3}{2} =\frac{y}{2}+\frac{3}{2}$

Therefore, the function $x=\frac{y}{2}+\frac{3}{2}$ is an inverse function and also a linear function.

To learn more about functions visit:

brainly.com/question/12431044.

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