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Ksju [112]
2 years ago
14

Help please !! and i’ll mark brainliesttttt

Mathematics
1 answer:
Finger [1]2 years ago
6 0

Answer: A

Step-by-step explanation:

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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
3 years ago
SUPER HARD QUESTION (I POSTED THE DIAGRAM) In the diagram of.....
Kisachek [45]

Answer:

A

Step-by-step explanation:

Since m∠JOK is 1/5th of the measure of the full circle (we know this because 72° is 1/5th of 360° and 360° is the measure of the whole circle), we know that the measure of minor arc JK will be 1/5th of the circumference of the circle. C = 2πr and we know that r = 5 so the circumference is 10π. 1/5th of that is 2π.

6 0
2 years ago
A restaurant sends customers in their loyalty program a coupon for a free birthday dessert. suppose that 8% of
strojnjashka [21]

Answer:

Not normal, because we expect fewer than 10 children to redeem the coupon.

Step-by-step explanation:

7 0
2 years ago
A stereo is marked down $75. If this is a 15% decrease, what was the original price for the stereo?
g100num [7]
The original price was $500
First we find 15% of what is $75
15/100 x N =$75
n = $7500/15
n = $500
5 0
2 years ago
Dave builds sheds. The widths of the doorways for the sheds vary with the area of the shed. One of Dave's sheds has an area of 2
Dovator [93]

Answer:

The widths of the shed doorways follow the pattern of multiplying by two. For example, 2 x 2 = 4.

Step-by-step explanation:

24 x 2 = 48

2 x 2 = 4

The sheds double in width and area.

7 0
2 years ago
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