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Function

If fx = x + 1...

Question

If f(x) = x + 1, g(x) = 2x - 1, and h(x) = $x^{2}$ , then fogoh(x) is a function.

quadratic

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linear

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cubic

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Solution

The correct option is A quadratic
f(x) = x + 1, g(x) = 2x - 1, and h(x) = $x^{2}$
fogoh(x) = f(goh(x)) ... (i)
goh(x) = g(h(x))
goh(x) = g( $x^{2}$ )
goh(x) = 2 $x^{2}$ - 1
put goh(x) in equation (i)
fogoh(x) = f(2 $x^{2}$ - 1)
fogoh(x) = 2 $x^{2}$ - 1 + 1
fogoh(x) = 2 $x^{2}$

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