Question

What is the value of x

Answer 1

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:

$\begin{gathered} x=-7 \\ y=\sqrt{-7x}+3x \\ y=\sqrt{\lbrack-7\cdot(-7)\rbrack+3(-7)} \\ y=\sqrt{49}-21 \\ y=7-21 \\ y=-14 \end{gathered}$

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:

$y=|\frac{x-6}{6-x}|=|\frac{(-1)(6-x)}{6-x}|=|-1|=1$

The output is y=1 for any input (also x=-7).