We have to find the output of a function, if the input is -7.
The input in this case is the value of x, which is the independent variable.
The output is the value of y, and we will calculate it as:
[tex]\begin{gathered} x=-7 \\ y=\sqrt{-7x}+3x \\ y=\sqrt{\lbrack-7\cdot(-7)\rbrack+3(-7)} \\ y=\sqrt{49}-21 \\ y=7-21 \\ y=-14 \end{gathered}[/tex]If the input is x=-7, the output will be y=-14.
3) We have another function, and the input is x=-7
We evaluate y as:
[tex]y=|\frac{x-6}{6-x}|=|\frac{(-1)(6-x)}{6-x}|=|-1|=1[/tex]The output is y=1 for any input (also x=-7).
