Question 1157675
{{{f(x)=3x-2}}} and {{{g(x)=x^2+1}}}. 
1. {{{f(g(x))=f(x^2+1)=3(x^2+1)-2=3x^2+3-2=highlight(3x^2+1)}}} Cartoon example: {{{cartoon(f(g(x)),highlight(f(g(x))),f(x^2+1),highlight(f(x^2+1)),3(x^2+1)-2,highlight(3(x^2+1))-2,3x^2+3-2,3x^2+1,highlight(3x^2+1))}}}
2. {{{g(f(1))=g(3*1-2)=g(1)=1^2+1=highlight(2)}}} Cartoon: {{{cartoon(g(f(1)),highlight(g(f(1))),g(3*1-2),g(highlight(3*1-2)),g(1),highlight(g(1)),1^2+1,highlight(1^2+1),2,highlight(2))}}}.
3. Since from 1, we know that {{{f(g(x))=3x^2+1}}}, {{{f(g(1))=3*1^2+1=highlight(4)}}}.