Answer:
[tex]g(5)=17[/tex]
[tex]f(g(5))=274[/tex]
Step-by-step explanation:
1. First you must substitute x=5 into g(x), then you obtain:
[tex]g(x)=4x-3\\[/tex]
[tex]g(5)=4*5-3[/tex]
[tex]g(5)=17[/tex]
2. Now, you must insert g(x) into f(x), as you can see below:
[tex]f(x)=x^{2}-x+2[/tex]
[tex]f(g(x))=(4x-3)^{2}-(4x-3)+2[/tex]
3. Finally, you must susbtitute x=5 into f(g(x)), as following:
[tex]f(g(5))=(4*5-3)^{2}-(4*5-3)+2[/tex]
[tex]f(g(5))=274[/tex]
