Question

Answer the following short response questions. Make sure to justify you answer and/or show all you work.

Answer 1

First, find the value of f(3) and g(2). Then, substract them.

Substitute x=3 in the expression for f(x) to find the value of f(3):

`\begin{gathered} f(x)=3x-4 \\ \Rightarrow f(3)=3(3)-4 \\ =9-4 \\ =5 \end{gathered}`

Then:

`f(3)=5`

Substitute x=2 in the expression for g(x) to find the value of g(2):

`\begin{gathered} g(x)=x^2 \\ \Rightarrow g(2)=2^2 \\ =4 \end{gathered}`

Then:

`g(2)=4`

Substitute the values of f(3) and g(2) to find f(3)-g(2):

`\begin{gathered} f(3)-g(2)=5-4 \\ =1 \end{gathered}`

Therefore:

`f(3)-g(2)=1`