Question 714970: if f(x) = x^2-4x+5
and g(x)=x-2
find (fg)(x)
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! if f(x) = x^2-4x+5
and g(x)=x-2
find (fg)(x)
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(f*g)(x) is the product of f(x) and g(x)
= x^3-2x^2-4x^2 +5x-2x -10
= x^3-6x^2+3x-10
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fog(x) is the composition of f and g.
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fog(x) = f[g(x)] = f[x-2] = (x-2)^2 - 4(x-2) + 5
= x^2 -4x+4 -4x+8 + 5
= x^2 -8x + 17
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Cheers,
Stan H.
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