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Romashka-Z-Leto [24]
2 years ago
7

Help please quick! Plato

Mathematics
1 answer:
Radda [10]2 years ago
8 0

Answer:

  C.

Step-by-step explanation:

The function (f+g)(x) is the sum of the two functions:

  (f+g)(x) = f(x) +g(x) = (ln(2x) -15) +(3sin(x) -7)

  = ln(2x) +3sin(x) +(-15 -7)

  (f+g)(x) = ln(2x) +3sin(x) -22

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6 0
3 years ago
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charle [14.2K]

Recall that

sin(<em>a</em> + <em>b</em>) = sin(<em>a</em>) cos(<em>b</em>) + cos(<em>a</em>) sin(<em>b</em>)

sin(<em>a</em> - <em>b</em>) = sin(<em>a</em>) cos(<em>b</em>) - cos(<em>a</em>) sin(<em>b</em>)

Adding these together gives

sin(<em>a</em> + <em>b</em>) + sin(<em>a</em> - <em>b</em>) = 2 sin(<em>a</em>) cos(<em>b</em>)

To get 14 cos(39<em>x</em>) sin(19<em>x</em>) on the right side, multiply both sides by 7 and replace <em>a</em> = 19<em>x</em> and <em>b</em> = 39<em>x</em> :

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7 (sin(58<em>x</em>) + sin(-20<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)

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4 0
3 years ago
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3 0
3 years ago
Read 2 more answers
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Answer:

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Answer:

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7 0
3 years ago
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