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# if you could spare a sec on this function question.

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

Aug 19, 2019

#1
+25648
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Let $$f(x) = 5x+3$$ and $$g(x)=x^2-2$$. What is $$g(f(-1))$$?

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

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

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

Aug 19, 2019