Question

If f(x) = 25 + 4 x + 15 and g(x) = 2x2 + 47, compute the composition (f ∘ g)(1). (f ∘ g)(1) =

Answer 1

A composite function is the combination of two or more functions to create another function. The value of (f o g)(1) is 126

Given that:

$f(x) = 2x^2 + 4x + 15$

$g(x) = 2x^2 + 4x$

$(f\ o\ g)(x)$ is calculated as:

$(f\ o\ g)(x) = f(x) \times g(x)$

So, we have:

$(f\ o\ g)(x) = (2x^2 + 4x + 15) \times (2x^2 + 4x)$

Substitute 1 for x

$(f\ o\ g)(1) = (2 \times 1^2 + 4 \times 1 + 15) \times (2 \times 1^2 + 4 \times 1)$

$(f\ o\ g)(1) = (21) \times (6)$

$(f\ o\ g)(1) = 126$

Hence, the value of (f o g)(1) is 126

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