tdmempires tdmempires
  • 11-11-2018
  • Mathematics
contestada

if f(x)=4x and g(x)=5x+1, then what is the rule for f(2g(x))? what is the rule for g(f(x)+1)?

Respuesta :

frika
frika frika
  • 12-11-2018

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]

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