Given f(x) = 3x2 − 48 and g(x) = x − 4, identify (f/g)(x).

Mathematics

1 answer:

Ratling [72]3 years ago

3 0

The choose a. 3x+12

$( \frac{f}{g} )(x) = \frac{3 {x}^{2} - 48 }{x - 4} = \frac{3( {x}^{2} - 16) }{x - 4} \\ \\ = \frac{3(x - 4)(x + 4)}{x -4} \\ \\ = 3(x + 4) \\ = 3x + 12$

I hope I helped you^_^

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Step-by-step explanation:

Hi, to answer this question we have to analyze the equation given:

4(x + 9) + 5 = 3x − 8

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PROBLEMS TO SOLVE

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A graph for the data (time and distance) shown in the given table is plotted in the image attached below.

<h3>What is a graph?</h3>

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

<h3>What is a linear function?</h3>

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

This ultimately implies that, the data of a linear graph are directly proportional and as such as the value on the x-axis increases or decreases, the values on the y-axis also increases or decreases.

In this exercise, you're required to plot a graph for the data (time and distance) that are recorded for an object that is starting from rest.

By critically observing the graph (see attachment) which models the data in the given table, we can infer and logically deduce that the linear function is given by:

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Read more on graphs here: brainly.com/question/25875680

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