Question

Please see the picture below I need part A and B

Answer 1

a)

To determine g(-1) we just need to substitute the value of x=-1 in the function given:

`\begin{gathered} g(-1)=2^(-1)+4 \\ =(1)/(2)+4 \\ =(1+8)/(2) \\ =(9)/(2) \end{gathered}`

Therefore:

`g(-1)=(9)/(2)`

Now, that we have the value of the function we conclude that the point (-1,9/2) is on the graph of g.

b)

In this case we need to find the value of x to do this we equate its expression to 12 and solve for x:

`\begin{gathered} 2^x+4=12 \\ 2^x=12-4 \\ 2^x=8 \\ 2^x=2^3 \\ x=3 \end{gathered}`

Therefore, if g(x)=12 then x=3 and the point (3,12) is on the graph of g.