Question

I need help answering the first part of this question

Answer 1

To find the inverse of the given function, solve the equation for f(x) for x, it means, isolate x from the given equation:

`\begin{gathered} f(x)=√(-3+x) \\ f(x)^2=-3+x \\ f(x)^2+3=x \end{gathered}`

Now, change f(x) for x and x for f^-1(x):

`f^(-1)(x)=x^2+3`

According to this, the correct answer is the first choice, this is because the domain of the function has to start at x=0.

The equation of the inverse function is the one shown in the last equation.

f^-1(x)=x²+3