Question

Find f(g(x)) f(x)=2x-5 , g(x)=4x+3

Answer 1

Set the composite results function.

`\boldsymbol{f(g(x)) }`

Evaluate f(g(x)) by substituting the value of g into f.

`\boldsymbol{2(4x+3)-5}`

Simplify each term.

Apply the distributive property.

• 
  `\boldsymbol{f(4x+3)=2(4x)+2\cdot3-5 }`

Multiply 4 by 2.

• 
  `\boldsymbol{f(4x+3)=8x+2\cdot3-5 }`

Multiply 2 by 3.

• 
  `\boldsymbol{f(4x+3)=8x+6-5 }`

Subtract 5 from 6.

• 
  `\boldsymbol{f(4x+3)=8x+1 }`

`\red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}`