SOLUTION: Given the functions f(x) = 3^x, g(x) = x+2, and h(x) = 2x+3, what composition of functions would result in each of the following: y = 2 * 3^x+2 - 3 y = 3^2x+1 y = 1/27 * 3^2x

Algebra ->  Functions -> SOLUTION: Given the functions f(x) = 3^x, g(x) = x+2, and h(x) = 2x+3, what composition of functions would result in each of the following: y = 2 * 3^x+2 - 3 y = 3^2x+1 y = 1/27 * 3^2x       Log On


   



Question 312059: Given the functions f(x) = 3^x, g(x) = x+2, and h(x) = 2x+3, what composition of functions would result in each of the following:
y = 2 * 3^x+2 - 3
y = 3^2x+1
y = 1/27 * 3^2x + 2

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


To start off, you have a error in your statement of the problem. For the first two compositions, you "can't get there from here" with the functions given. I haven't even looked at the third one. I suspect that you really meant that , but I'm not going to proceed until I get confirmation of that.

John