Saturday

April 19, 2014

April 19, 2014

Posted by **Mary** on Sunday, November 11, 2012 at 5:03pm.

- Precalculus -
**Reiny**, Sunday, November 11, 2012 at 6:06pmYou have given me an equation, not a function

The concept of domain and range applies to functions

was your function

f(x) = 3cos(3x+π) - 4 ?

if so , the domain is any real number

the range is -1 to -7

were you looking for a solution to your equation?

cos(3x+π) = 4/3

BUT, the cosine of anything lies between -1 and 1

so your equation has no solution.

- Precalculus -
**Mary**, Sunday, November 11, 2012 at 6:28pmThe question(s) were as follows:

Given: f(x) = 3cos(3x+π) - 4 (as you thought)

Find:

a) the inverse of F(x)

b) the domain and range of F(x)

c) the domain and range of F -1(x)

I got cos-1[(x-4)/9] - π =y for the inverse, although I'm not sure I did the problem right (I set x to y and y to x and then solved for y).

For cos(3x+π) = 4/3, don't I have to finish solving cos(3x+π) before I decide that there is no solution? I have been doing these and other problems for so long today that I am gettin more confused - not less, lol! Thanks for your help.

**Related Questions**

Math - how would i go about finding the domain of the function f(x)=(3x+1)/(sqrt...

math - Finding the domain of G(X)=4/4-3X So would the domain be 3 then?

precalculus check immediately - suppoe f is a function with domain [1,3]and ...

Complex Numbers - How do I go about finding the solutions to the following x^2-...

Calculus - How would you go about finding the derivative of y=1/(3x^2)-5/(2x)?

MATH - How would you go about finding x and y?? [x-8 2 2y] [9x-16 2 6] [ 2 -7x 7...

trig - How would you go about finding x and y?? [x-8 2 2y] [9x-16 2 6] [ 2 -7x 7...

Math - How would i go about finding the x and y intercepts of this eqaution? f(x...

Business - Where would I go to find info about finding info about the organizing...

Algebra - Could you please help in finding the domain? Thanxs! Find the domain ...