Given #f(x)=3x^2+2, g(x)=sqrt(x+4), h(x)=4x-2# how do you determine the combined function #y=(g-h)(x)# and state its function?
1 Answer
Sep 3, 2017
# y(x) = (g-h)(x) = sqrt(x+4) - 4x+2 #
Explanation:
We have:
# f(x) = 3x^2+2 #
# g(x) = sqrt(x+4) #
# h(x) = 4x-2 #
Then:
# y(x) = (g-h)(x) #
# \ \ \ \ \ \ \ = g(x)-h(x) #
# \ \ \ \ \ \ \ = sqrt(x+4) - (4x-2) #
# \ \ \ \ \ \ \ = sqrt(x+4) - 4x+2 #
