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Reptile [31]
3 years ago
15

F(x) = 9 - x, g(x) = x2 + x, h(x) = x - 2 Compute the following: f(g(x)

Mathematics
1 answer:
Sonbull [250]3 years ago
4 0

Answer:

f(g(x))=9-x-x^{2}

Step-by-step explanation:

Given ,

f(x)=9-x

g(x)=x^{2} +x

here,.

fog

=f(g(x))

=f(x^{2} +x)

=9-(x^{2} +x)

=9-x^{2} -x

=9-x-x^{2}

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A standardized test that colleges use to make admissions decisions is the _____.
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Answer:

D

Step-by-step explanation:

EXPLORE test is the college test ACT's "prep" version mostly for 8th and 9th graders.

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PLAN is also like EXPLORE that it is a "prep" test for ACT but usually given to sophomore (10th grade) students. This has been discontinued from 2014, though.

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7 0
3 years ago
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Can someone help me and explain? I will mark brainlest. ♡
Sedbober [7]

Answer:

p'(4) = -3

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Step-by-step explanation:

For p'(4):

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For q'(8):

q(x) = \frac{f(x)}{g(x)} \\ q'(x)= \frac{d}{dx}(\frac{f(x)}{g(x)}) \\ q'(x) = \frac{f'(x)g(x) -f(x)g'(x)}{{g(x)}^2}

q'(8) = \frac{f'(8)g(8) -f(8)g'(8)}{{g(8)}^2} \\ q'(8) = \frac{(2)(2) -(6)(\frac{1}{2})}{{2}^2} \\ q'(8) = \frac{4 -3}{4} \\ q'(8) = \frac{1}{4}

4 0
3 years ago
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Dmitry_Shevchenko [17]

Answer:

  (x, y) = (1, 3)

Step-by-step explanation:

The "work" of solving by graphing is typing the equations into a graphing calculator and highlighting the point of intersection.

___

If you're graphing these by hand, there are a couple of strategies you can use. One is to make use of the intercepts of the line. For each of these, you need to rearrange the equation to a suitable form.

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Plot the intercept points and draw a line through them.

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  <u>Solution</u>

When you plot these lines, you find they intersect at (1, 3). That is the solution to the system of equations, the values of x and y that satisfy both equations.

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