Question

Hello! I need some help with this homework question, please? The question is posted in the image below. Q17

Answer 1

The function being one-to-one implies that every value of x, has one one vaue of y, and every value of y, has one value of x.

The inverse uses the output(y value) as an input(x value) and spits it out to get the original x value inputted into f.

Using the given point ( 2, -5 ), it implies of f(2) = -5. Since the function is one-to-one, this implies that:

`f^(-1)(-5)=2`
`\text{Thus, the point on the graph of f}^(-1)\text{ is }(-5,2\text{ )}`

Hence, the correct option is option B