Question

Find the functional values g (-3), g (0), and g (5) for the compound function.

g (x) = 7 if x ≤ 0
1 over x if x > 0

Answer 1

`\sf\f(x)=\grey{\begin{cases}\rm 7\quad ,x\geqslant 0\\ \rm (1)/(x)\quad ,x>0\end{cases}}`

So

• -3,0 ≤0
• 5>0

Hence

• g(-3)=g(0)=7
• g(5)=1/5

Answer 2

`g(-3)=7`

`g(0)=7`

`g(5)=\frac15`

Explanation:

`g(x) =\begin{cases}7 & \text{if } x \leq 0 \\ \\(1)/(x) & \text{if } x > 0\end{cases}`

This means:

• when x is equal to zero or less than zero, g(x) will always be 7.

• when x is more than zero, g(x) is
  `(1)/(x)`

`\implies g(-3)=7`

`\implies g(0)=7`

`\implies g(5)=\frac15`