Question

I don't get this !!!!!!!11

Answer 1

Hello.

So, you should already know that to find the inverse of a function you switch x and y and solve. 

For f(x) = x² + 3, it's domain is all real numbers, and the range is y ≥ 3.

The inverse of f(x), it is $f^{-1}$, and the equation is $f^{-1}$ = ±√(x - 3). It's domain is x ≥ 3, and the range is all real numbers.

There are many unique characteristics about inverses, like the values of x and y are switched, it's reflected on the line y = x, and the domain and range is switched.

So your final answer is c. f(x) domain: all real numbers, range: y ≥ 3
                $f^{-1}$ domain: x ≥ 3, domain: all real numbers.

Hopefully it makes sense! :)