Description
For f(x)=x^2+5 and g(x)=x^2-9
Find these functions:
1. (f o g)(x)
2. (g o f)(x)
3. ( f o g)(4)
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Explanation & Answer
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1 (f o g)(x)=f(g()x)=f(x^-9)=(x^2-9)^2+5= x^4-18x^2+86
2 (g o f)(x)=g(f(x))=g(x^2+5)=(x^2+5)^2-9=x^4+10x^2+16
3 ( f o g)(4)=f(g(4))=f(4^2-9)=f(7)=7^2+5=54
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