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luda_lava [24]
3 years ago
7

Help with math please

Mathematics
1 answer:
MakcuM [25]3 years ago
4 0

Answer:

You are correct,y = 0.

Step-by-step explanation:

y = 4 x -3 + 12

y = -12 + 12

y = 0

Hope that helps!

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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
Please help me do #59
Svetach [21]

Answer:

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Step-by-step explanation:


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Answer:

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Read 2 more answers
8/16 reduced equals what?
Veronika [31]
\frac{8}{16}=\frac{\not8^1}{2\times\not8_1}=\frac{1}{2\times1}=\boxed{\frac{1}{2}}
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C is the only one that is an enlarged version of A.

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