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Let\( f(x) = 5x+3\) and \(g(x)=x^2-2\). What is \(g(f(-1))\)?

 

thank you in advance. :)

 Aug 19, 2019
 #1
avatar+23321 
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Let \(f(x) = 5x+3\) and \(g(x)=x^2-2\). What is \(g(f(-1))\)?

 

\(\begin{array}{|rcll|} \hline \mathbf{f(x)} &=& \mathbf{5x+3} \quad | \quad x=-1 \\ f(-1) &=& 5(-1)+3 \\ f(-1) &=& -5+3 \\ \mathbf{f(-1)} &=& \mathbf{-2} \\ \hline && \mathbf{g(f(-1))} \quad | \quad f(-1)=-2 \\ &=& g(-2) \quad | \quad \mathbf{g(x)=x^2-2},\ x=-2 \\ &=& (-2)^2-2 \\ &=& 4-2 \\ &=& \mathbf{2} \\ \hline \end{array}\)

 

\(\mathbf{g(f(-1))} = \mathbf{2} \)

 

laugh

 Aug 19, 2019
 #2
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Thank you very much!! :)

 Aug 19, 2019

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