If f(x) = $x^{2}$ + 1 and g(x) = x - 1, then fog(3) =.

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Solution

The correct option is B 5
f(x) = $x^{2}$ + 1, g(x) = x - 1
fog(x) = f{g(x)}
fog(x) = f{x - 1}
fog(x) = ${(x - 1)}^{2} + 1$
fog(x) = $x^{2}$ - 2x + 1 + 1
fog(x) = $x^{2}$ - 2x + 2
So, fog(3) = $3^{2}$ - 2(3) + 2
fog(3) = 9 - 6 + 2
fog(3) = 5

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