Question

Hello! I need some help with this homework question, please? The question is posted in the image below. Q5

Answer 1

STEP-BY-STEP EXPLANATION:

We can determine the domain and range of the function, knowing that the domain is the interval of values in x and the range is the interval of values in y.

Therefore:

`\begin{gathered} D=\lbrack-5,5\rbrack \\ R=\mleft[-5,(25)/(17)\mright] \end{gathered}`

When a function is inverted, the domain and range are inverted, therefore:

`\begin{gathered} D=\mleft[-5,(25)/(17)\mright] \\ R=\lbrack-5,5\rbrack \end{gathered}`

Which means that the inverted function goes from -5 to 25/17 in x and from -5 to 5 in y.

In addition to this we must take into account that when the inverse function is done, in most cases a reflection is made in y = x.

The only graph that meets all of the above is graph A