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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)?
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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)?

User Benchpresser
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1 Answer

3 votes

Given


  • f(x)=4x;

  • g(x)=5x+1.

1. Find the rule for
f(2g(x)):


f(2g(x))=f(2\cdot (5x+1))=f(10x+2)=4\cdot (10x+2)=40x+8.

2. Find the rule for
g(f(x)+1):


g(f(x)+1)=g(4x+1)=5\cdot (4x+1)+1=20x+5+1=20x+6.

Answer:
f(2g(x))=40x+8,
g(f(x)+1)=20x+6.

User Nidheesh
by
4.9k points
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