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andre [41]
3 years ago
9

Use the graph of the function to find f(-2)

Mathematics
1 answer:
lesya692 [45]3 years ago
4 0

Answer:

Answer D:  f(-2) = 2

Step-by-step explanation:

To evaluate f(-2) we need to find what is the y-value that the graph shows for the x-value "-2".

To find such, we look for the value x = -2 on the horizontal (x) axis (located two units to the left of the origin of coordinates (0,0)), and from there, we investigate at what y-value (value on the vertical y-axis) a line that follows the vertical grid passing through x = -2, intercepts the graph of the function.

That is pictured with a red dot in the attached image. Notice that the y-value at which such intersection occurs is y = 2.

Therefore f(-2) = 2

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<h3>How to determine the difference?</h3>

The expression is given as:

\frac{2x^5}{x^2 - 3x} - \frac{3x^5}{x^3 - 9x}

Factor the denominators of the expressions:

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Apply the difference of two squares to x² - 9

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Take LCM

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Hence, the difference of the expression \frac{2x^5}{x^2 - 3x} - \frac{3x^5}{x^3 - 9x} is \frac{2x^5(x + 3) - 3x^5}{x(x - 3)(x + 3)}

Read more about expressions at:

brainly.com/question/723406

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