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gregori [183]
3 years ago
8

Reflection (in Y)

Mathematics
1 answer:
Tanzania [10]3 years ago
7 0
(3;4) percent of the piano 4
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Ruben bought 6 comic books for $21 dollars sign, 21.<br> What was the cost for 1 comic book?
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Answer:

$3.5

Step-by-step explanation:

21/6=3.5

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3 years ago
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Graph the inverse circular function by hand, given f(x) = 3sin(2x) ;-pi/4 ≤ ≤pi/4
nasty-shy [4]

Part a)

a) The given function is

f(x) = 3 \sin(2x)

We let

y =  3 \sin(2x)

Interchange x and y.

x=  3 \sin(2y)

Solve for y;

\frac{x}{3}  =  \sin(2y)

y =  \frac{1}{2}  { \sin}^{ - 1}( \frac{x}{3} )

{f}^{ - 1}(x)  =  \frac{1}{2}  { \sin}^{ - 1}( \frac{x}{3} )

Part b) The range of f(x) refers to y-values for which f(x) exists.

The range of f(x) is

-  3 \leqslant y \leqslant 3

This is because the function is within y=-3 and y=3.

c) The range of

{f}^{ - 1} (x)

is

-  \frac{ \pi}{4}  \leqslant y \leqslant  \frac{\pi}{4}

The domain is -3≤x≤3

This is because the domain and range of a function and its inverse swaps.

Part d) The graph is shown in the attachment.

3 0
4 years ago
HELP ASAP ILL GIVE YOU AN Additional 20 points PLEASE HELP IT"S DUE IN 10 mins
Brrunno [24]
Answer: 10

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3 years ago
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SashulF [63]
I believe is A :)
You are welcome
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3 years ago
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