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I need help with this problemGiven:f(x)=5x+3 and g(x)=x to the power of 2, find (g.f)(2)

I need help with this problemGiven:f(x)=5x+3 and g(x)=x to the power of 2, find (g-example-1
User Nirav
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1 Answer

2 votes

Solution:

Given the functions below;


\begin{gathered} f(x)=-5x+3 \\ g(x)=x^2 \end{gathered}

Where


(g\circ f)(x)=(-5x+3)^2

Where, x = 2,

Substitute 2 for x into the composite function above


\begin{gathered} (g\circ f)(2)=(-5(2)+3)^2=(-10+3)^2=(-7)^2=49 \\ (g\circ f)(2)=49 \end{gathered}

Hence, the answer is 49

User Pieter Helsen
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