Let f(x) = 3x and g(x) = x2 + 1. Find g(f(x))

Mathematics

2 answers:

Kazeer [188]2 years ago

8 0

Set up the composite function and simplify. Answer: g(3x) = 9x^2 + 1

IgorC [24]2 years ago

4 0

Answer:

$g(f(x)) = 3( {x}^{2} + 1) \\ \\ = 3 {x}^{2} + 3$

Step-by-step explanation:

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Step-by-step explanation:

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<h3>equation</h3>

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_____

<em>Additional comment</em>

When answering multiple-choice questions, you only need to do enough work to tell which answers are <em>not</em> viable.

When we plot the points, we see that the line has negative slope. (eliminates choice C). The slope is shallow, rather than steep (the x-intercept is farther from the origin than the y-intercept), so the magnitude of the slope is less than 1 and choices B and D are eliminated.