SOLUTION: For each pair of functions, find f(g(x)) and g(f(x)).
31)f(x)=3x+5,g(x)=x^2+1
32)f(x)=x^2-5x+2,g(x)=2x
34)f(x)=-2x^2,g(x)=x+4
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Radicals
-> SOLUTION: For each pair of functions, find f(g(x)) and g(f(x)).
31)f(x)=3x+5,g(x)=x^2+1
32)f(x)=x^2-5x+2,g(x)=2x
34)f(x)=-2x^2,g(x)=x+4
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Question 192556: For each pair of functions, find f(g(x)) and g(f(x)).
31)f(x)=3x+5,g(x)=x^2+1
32)f(x)=x^2-5x+2,g(x)=2x
34)f(x)=-2x^2,g(x)=x+4 Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! For each pair of functions, find f(g(x)) and g(f(x)).
31)f(x)=3x+5,g(x)=x^2+1
f[g(x)} = f[x^2+1] = 3(x^2+1) + 5 = 3x^2 + 3 + 5 = 3x^2 + 8
g[f(x)] = g[3x+5] = (3x+5)^2 + 1 = 9x^2 + 30x + 26
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The others follow the same procedure
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Cheers,
Stan H.
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