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Westkost [7]
3 years ago
5

If p(x)=2x^2-4 and q(x)=x-3, what is (p•q)(x)

Mathematics
1 answer:
olasank [31]3 years ago
6 0
(p of q)(x) means that q(x) is inserted into p(x).

p(q(x)) = 2(x - 3)^2 - 4

Expand (x - 3)^2.

p(q(x)) = 2(x^2 - 6x + 9) - 4

p(q(x)) = 2x^2 - 12x + 14

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antoniya [11.8K]

Answer:

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Step-by-step explanation:

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The slope of a linear equation represents the steepness of the line's graph. The higher the value of the slope, the steeper the line. Hence, the slope of the other line must be less than three, but is greater than zero: 0 < <em>m</em> < 3.   (a negative slope will show a <em>declining</em> line).  

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The linear equation that I have chosen that meets the requirements of the given prompt is: y = ½x - 14.  <em>You're more than welcome to choose a different slope</em>, as long as it is less than 3, but is greater than 0 (must be a positive slope).

Attached is a graph of both equations, to demonstrate that the other equation represents a graph with a steeper slope than the original graph.    

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3 0
3 years ago
Read 2 more answers
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