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):
[tex]\begin{gathered} f(x)=3x-4 \\ \Rightarrow f(3)=3(3)-4 \\ =9-4 \\ =5 \end{gathered}[/tex]
Then:
[tex]f(3)=5[/tex]
Substitute x=2 in the expression for g(x) to find the value of g(2):
[tex]\begin{gathered} g(x)=x^2 \\ \Rightarrow g(2)=2^2 \\ =4 \end{gathered}[/tex]
Then:
[tex]g(2)=4[/tex]
Substitute the values of f(3) and g(2) to find f(3)-g(2):
[tex]\begin{gathered} f(3)-g(2)=5-4 \\ =1 \end{gathered}[/tex]
Therefore:
[tex]f(3)-g(2)=1[/tex]
