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Let f(x)=x^2 and g(x)=x-3. Find (f o g)(-5)

User Anton Savelyev
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1 Answer

15 votes
15 votes

Solution

Given that


\begin{gathered} f(x)=x^2 \\ \\ g(x)=x-3 \\ \\ \Rightarrow(f\circ g)(-5)=f(g(-5)) \\ \\ g(-5)=-5-3=-8 \\ \\ \Rightarrow f(g(-5))=f(-8) \\ \\ f(-8)=(-8)^2=64 \\ \\ \Rightarrow(f\circ g)(-5)=64 \end{gathered}

User Lyjackal
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