Suppose f(x)=x^2 and g(x)=sqrt(x-5), to find:1. (fog)(x) 2. Domain of (fog)(x) 3. (gof)(x) 4. Domain of (gof)(x)

illusiia

illusiia

Answered question

2021-09-12

Suppose f(x)=x2andg(x)=x5, to find:
1. (fog)(x)
2. Domain of (fog)(x)
3. (gof)(x)
4. Domain of (gof)(x)

Answer & Explanation

Sally Cresswell

Sally Cresswell

Skilled2021-09-13Added 91 answers

1. fog(x)=f(g(x))
=f(x5)
=(x5)2
=x-5
2. g(x)=x5
g(x)>0 where x[5,)
3. gof(x)=g(f(x))
=g(x2)
=x25
4. f(x)=x2 is true for all real numbers
Except
gof(x)=x25
x250
x250
x5
5x5
x[5,5]

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