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Artist 52 [7]
3 years ago
7

45 POINTS h(x) = 1/x+2 and k(x) = 3x - 4 h[k(x)] =

Mathematics
2 answers:
Marina86 [1]3 years ago
8 0
.............................

FinnZ [79.3K]3 years ago
3 0

We are told that h(x) = 1 / (x+2) and k(x) = 3x - 4. We want to find h(k(x)), or (h o k)(x). We work INSIDE OUT.

h(k(x)) = h(3x - 4).

Now we take the function, 3x - 4, and apply what h(x) wants us to do.

Evaluating h(3x - 4) means that we put the 3x - 4 into h(x).

h(x) = 1 / (x+2)

So h(3x -4) = 1 / (3x -4) + 2 <---- notice how x was the same. so are the 3x -4 parts

= 1 / 3x - 2


Thus, the composition is \frac{1}{3x-2}

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3 years ago
The length of a rectangle is 4 less than twice the width. The perimeter of the rectangle is 106 cm. Determine the length of the
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Answer:

Length = 34

Step-by-step explanation:

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Therefore

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Answer:

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Step 3: Subtract 4 from both sides.

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