Question

Help!

Find the inverse function of F(x) = 2arccosx.

F-1(x) = ____


1/2cos(x)
2cos(x)
cos(1/2x) << would it be this?
cos(2x)

Answer 1

y = 2arccosx

y/2 = arccosx

solve for x by taking cosine of each side.

Answer 2

Yes, it would be that.

Answer 3

@agent0smith would also this be correct??
Which of the following lines is an asymptote in the graph of y = arccscx?


x = 0
x = 1
y = 0
y = 1<<<

Answer 4

http://www.wolframalpha.com/input/?i=y%3D+arccscx+reals

might help to look at the graph for an asymptote.

Answer 5

TTOP: You might want to find the derivative of y = arccsc x first. Once you have that, look at the quantity in the denominator. Which x value would make the denom. = 0? That's where the graph of y = arccsc x has a vertical asymptote.

Question: does y = arccsc have a horiz. asy.?

Answer 6

@mathmale yes they do

Answer 7

Hope we're not losing track of the original goal: to find the inverse function of F(x) = 2arccos x. Make certain that whatever we say and do here focuses on that goal.

Answer 8

^we did that already, this is a separate question

Answer 9

omg i just calculated it bymyself and i got x = 1
am i wrong? /.\

Answer 10

btw this is for the second question (:

Answer 11

http://www.wolframalpha.com/input/?i=y%3D+arccscx+reals+from+x%3D-1000+to+x%3D1000

see the asymptote yet?

Answer 12

ummm.. x=0??

Answer 13

Are you looking at a horizontal, or vertical asymptote? x=0 would be vertical.

Answer 14

i would be looking at the vertical!

Answer 15

Look horizontally.

Answer 16

then it would be y=0?

Answer 17

it is y=0??

Answer 18

That's what the medal was for :P