1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
laiz [17]
3 years ago
6

Graph the inverse circular function by hand, given f(x) = 3sin(2x) ;-pi/4 ≤ ≤pi/4

Mathematics
1 answer:
nasty-shy [4]3 years ago
3 0

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.

You might be interested in
Convert -18° to radians.
aev [14]
The answer is 0.314 radian
8 0
3 years ago
Read 2 more answers
What’s the answer to -x= -14 How do you do it?
denis23 [38]

Step-by-step explanation:

multiply both sides by -1

x = 14

5 0
3 years ago
A taxi driver charges $3 for every kilometre driven, plus $4 per trip.
lilavasa [31]

Answer:ggg

Step-by-step explanation:ggggg

5 0
3 years ago
Read 2 more answers
Find the remainder when f(x) = x3 − 14x2 + 7x − 10 is divided by x − 3. 184 164 −88 −122
Fudgin [204]

Answer:

122

Step-by-step explanation:

For this case we must build a quotient that, when multiplied by the divisor, eliminates the terms of the divide until it reaches the remainder.

It must be fulfilled that:

Dividend = Quotient * Divisor + Remainder

we have that the remainder is 122.

have a good day

5 0
3 years ago
What is the square root of -1
Zinaida [17]

Answer:

i

Step-by-step explanation:

square root of -1 is i

6 0
3 years ago
Read 2 more answers
Other questions:
  • Calculate the gradient of (a; b) and (-2a; -2b) where a≠0 and b≠0.
    7·1 answer
  • Can someone please help
    6·1 answer
  • If the spinner shown is spun twice, what is the probability that it will land on 1 both times?
    14·2 answers
  • Please give me the answer please
    14·1 answer
  • Given the point (-3, 6) and a line y=2x-8, write an equation of a line through the point and parallel to the line.
    11·1 answer
  • You were assigned 225 pages to read. You finished ¼ of them. How many pages do you have left to read?
    15·2 answers
  • Consider the following graph of y = f (x). Please help
    6·1 answer
  • -3x - 4y = 2
    15·1 answer
  • serious answers only<3 i really need to get this done before i get grounded and i used to be good at math but during quaranti
    10·1 answer
  • What would be identified as a constant(s) in: 7h + 3
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!