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.

• $\boldsymbol{f(4x+3)=8x+1 }$

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