Question

Hi, may I please receive assistance on this problem. It would be greatly appreciated. Thank you for your time.

Answer 1

The equation for the function is given below as

`g(x)=3-8x`

Step 1:

Substitute the value of g(x)=0 in the equation above

`\begin{gathered} g(x)=3-8x \\ 0=3-8x \\ 8x=3 \\ \text{divide both sides by 8} \\ (8x)/(8)=(3)/(8) \\ x=(3)/(8) \end{gathered}`

Step 2:

Substitute the value of x=0 in the equation below

`\begin{gathered} g(x)=3-8x \\ g(x)=3-8(0) \\ g(x)=3 \end{gathered}`

Step 3:

Substitute the value of g(x) =-5

`\begin{gathered} g(x)=3-8x \\ -5=3-8x \\ -5-3=-8x \\ -8=-8x \\ \text{divide both sides by -8} \\ (-8x)/(-8)=-(8)/(-8) \\ x=1 \end{gathered}`

Step 4:

Substitute the value of x=3 in the equation below

`\begin{gathered} g(x)=3-8x \\ g(x)=3-8(3) \\ g(x)=3-24 \\ g(x)=-21 \end{gathered}`

Hence,

The final answer is