what is (fْ g)(x): f(x)=√x+√4, g(x)=x^2
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Given : f(x)=√x+√4, g(x)=x²
To find : fog(x)
Solution:
f(x)=√x+√4,
g(x)=x²
fog(x) = f(g(x))
= f( x² )
= √x² + √4
= |x| + √4
= |x| + 2
fog(x) = |x| + 2
gof(x) =g(f(x))
= g(√x+√4 )
= (√x + √4)²
= x + 4 + 2√4√x
= x + 4√x + 4
= (√x + 2)²
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