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maxonik [38]
3 years ago
15

G(x)=-x + 4x h(x)=4x + 2 Find (g-h)(-4x) How do I answer this question

Mathematics
1 answer:
Digiron [165]3 years ago
4 0

Answer:

(g - h)(-4x) = 4x - 2

Step-by-step explanation:

This problem is one dealing with "composite functions."  We are given the definitions of functions g(x) and h(x) and are asked to find the difference between g and h, namely, what is left if we subtact h from g.  After having done that, we replace x in this composite function with the input (-4x).

The difference (g - h)(x) is as follows:  g(x) - h(x) = -x + 4x - [4x + 2].

If we simplify the algebra, we get g(x) - h(x) = -x + 4x - [4x + 2] = -x - 2.

Next, substitute -4x for x in this last result.  We get (g - h)(-4x) = 4x - 2.

Please note:  You might want to check out your g(x) = -x + 4x.  Normally we would write this as +3x.  

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In segment AC, the midpoint is B. If segments AC = 5x-9 and AB = 2x, what is the measure of segment AC.
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Answer:

The measure of segment AC is 36 units

Step-by-step explanation:

- The mid-point divides the segment into two equal parts in length

- B is the mid point of segment AC

- That means B divides segment AC into two equal parts in length

∴ AB = BC

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- The two parts AB and BC are equal in length

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∵ AC = AB + BC

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∴ x = 9

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∵ x = 9

∴ AC = 4(9) = 36

* The measure of segment AC is 36 units

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