How do you find #h(x)=f(x)+g(x)# given #f(x)=3x-5# and #g(x)=-x+2#?
1 Answer
Jan 17, 2017
# h(x) = 2x-3#
Explanation:
# h(x) = f(x)+g(x) #
#\ \ \ \ \ \ \ = (3x-5) + (-x+2) #
#\ \ \ \ \ \ \ = 3x-5 -x+2 #
#\ \ \ \ \ \ \ = 2x-3#
Example:
# x=1 => f(1) = 3-5 \ \ \ \ = -2 #
# x=1 => g(1) = -1+2 = 1 #
Using:
# h(x) = f(x)+g(x) => h(1) = -2 + 1 =-1 #
# h(x) = 2x-3 \ \ \ \ \ \ \ \ => h(1) = 2 -3 \ \ \ \ \=-1 #
