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4) g(x) = x2 + 4, h(x) = x +4. Find (g oh)(x)

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Problem

4) g(x) = x2 + 4, h(x) = x +4. Find (g oh)(x)

Solution

We want to find goh(x) so we need to do the following:

goh(x) = ghf(x))

And replacing we got:

goh(x)= (x+4)^2 +3

And if we solve the square we got:

goh(x)=x^2 +8x +16+3= x^2 +8x+9

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