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

Sagot :

Solution

Given that

[tex]\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}[/tex]

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