Question 73850: Given f(x) = 3 x+8 and g(x) = sqrt(x+3), find f ° g(4) and g ° f(4), giving exact answers (using sqrt if necessary).
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Given f(x) = 3 x+8 and g(x) = sqrt(x+3), find f ° g(4) and g ° f(4), giving exact answers (using sqrt if necessary).
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fog(4) = f[g(4)] = f[sqrt(4+3)]
=f[sqrt(7)]
= 3sqrt(7)+8
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gof(4) = g[f(4)]
=g[3*4+8]
=g(20)
=sqrt(20+3)
=sqrt(23)
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Cheers,
Stan H.
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