1. (f o g)(x) 2. (g o f)(x) 3. ( f o g)(4)

User Generated

parjzna12512

Mathematics

Question 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

best of luck dear...........................


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