Answer:
[tex](f-g)(2)=28[/tex]
Step-by-step explanation:
Given:
[tex]f(x)=3x^2+1[/tex]
[tex]g(x)= 1-x[/tex]
To find the equivalent expression of [tex](f-g)(2)[/tex].
[tex](f-g)(2) = f(2) - g(2)[/tex]
Find g(x)
[tex]g(x)=1-x[/tex]
Sub x for 2
[tex]g(2)=1-2[/tex]
[tex]g(2)=-1[/tex]
Find f(x)
[tex]f(x)=3x^2+1[/tex]
Sub x for 2
[tex]f(2)=3(2)^2+1[/tex]
[tex]f(2)=12+1[/tex]
[tex]f(2)=12+1[/tex]
[tex]f(2)=13[/tex]
Solve for the giving value
[tex](f-g)(2)[/tex]
[tex](13- (-1)) (2)[/tex]
[tex]14(2)[/tex]
28
