Let f(x)=x+2|x−3|,andg(x)=3x−1.

(a) Find all solutions to the equation f(g(x)) = −4x.

So I come up with

f(g(x)) = 3x - 1 + 2|3x - 1 - 3| = - 4x

Is this set up correct? And would I simply solve for x?

Thank you!

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- Nov 13th 2012, 05:12 PMUWM120Function Question
Let f(x)=x+2|x−3|,andg(x)=3x−1.

(a) Find all solutions to the equation f(g(x)) = −4x.

So I come up with

f(g(x)) = 3x - 1 + 2|3x - 1 - 3| = - 4x

Is this set up correct? And would I simply solve for x?

Thank you!

- Nov 13th 2012, 05:26 PMHallsofIvyRe: Function Question
3x- 1- 3= 3x- 4, of course, but what you have is correct.