SOLUTION: suppose f(x)=-4x+3 and g(x)=square root of x. what is the domain of the compsite function g(f(x)) please show your work! thank you so much for helping me out!

Algebra ->  Rational-functions -> SOLUTION: suppose f(x)=-4x+3 and g(x)=square root of x. what is the domain of the compsite function g(f(x)) please show your work! thank you so much for helping me out!      Log On


   



Question 163666: suppose f(x)=-4x+3 and g(x)=square root of x.
what is the domain of the compsite function g(f(x))
please show your work!
thank you so much for helping me out!

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
g(x) is a sqrt, so you know that the value under the radical cannot be negative.
You then need to solve for those values of f(x) that resolve to non-negative. Any value of x that results in f(x)>=0 is in the domain.
-4x+%2B3+%3E=+0
-4x+%3E=+-3
x+%3C=+3%2F4