Given
- [tex]f(x)=4x;[/tex]
- [tex]g(x)=5x+1.[/tex]
1. Find the rule for [tex]f(2g(x)):[/tex]
[tex]f(2g(x))=f(2\cdot (5x+1))=f(10x+2)=4\cdot (10x+2)=40x+8.[/tex]
2. Find the rule for [tex]g(f(x)+1):[/tex]
[tex]g(f(x)+1)=g(4x+1)=5\cdot (4x+1)+1=20x+5+1=20x+6.[/tex]
Answer: [tex]f(2g(x))=40x+8,[/tex] [tex]g(f(x)+1)=20x+6.[/tex]
