Question

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

Answer 1

Answer:

$g(-3)=7$

$g(0)=7$

$g(5)=\dfrac15$

Step-by-step explanation:

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

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 $\frac{1}{x}$

$\implies g(-3)=7$

$\implies g(0)=7$

$\implies g(5)=\dfrac15$

Answer 2

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

So

• -3,0 ≤0
• 5>0

Hence

• g(-3)=g(0)=7
• g(5)=1/5