2) $h(x) = x + 1$ $g(x) = x^3 - 5x^2$ find $(h + g)(x)$ | Sovi AI

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2) $h(x) = x + 1$ $g(x) = x^3 - 5x^2$ find $(h + g)(x)$

Question

$h(x) = x + 1$

$g(x) = x^3 - 5x^2$
find $(h + g)(x)$

Explanation:

Step1: Define sum of functions

$(h+g)(x) = h(x) + g(x)$

Step2: Substitute given functions

$(h+g)(x) = (x + 1) + (x^3 - 5x^2)$

Step3: Combine like terms

$(h+g)(x) = x^3 - 5x^2 + x + 1$

Answer:

$\boldsymbol{(h+g)(x) = x^3 - 5x^2 + x + 1}$