4 years ago

F f(x) = 2x2 + 1 and g(x) = x2 – 7, find (f + g)(x).

Mathematics

1 answer:

shutvik [7]4 years ago

4 0

2x2 + 1 + <span> x2 – 7
= 3x2 - 6

answer is </span><span>C. 3x2 – 6</span>

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Step-by-step explanation:

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$\mathrm{The\:vertex\:of\:an\:up-down\:facing\:parabola\:of\:the\:form}\:y=ax^2+bx+c\:\mathrm{is}\:x_v=-\frac{b}{2a}$

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$x_v=-\frac{b}{2a}$

$x_v=-\frac{12}{2\cdot \:1}\\$

$x_v=-6\\$

$\mathrm{Plug\:in}\:\:x_v=-6\:\mathrm{to\:find\:the}\:y_v\:\mathrm{value}$

$y_v=\left(-6\right)^2+12\left(-6\right)+6\\y_v=-30\\\left(-6,\:-30\right)$

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