If #h(x)=(f+g)(x), f(x)=5x+2# how do you determine g(x) given #h(x)=3x^2+4x-2#?
1 Answer
Jan 24, 2017
Explanation:
#"Given " h(x)=(f+g)(x)=f(x)+g(x)#
#"Then " g(x)=h(x)-f(x)#
#=3x^2+4x-2-(5x+2)#
#=3x^2+4x-2-5x-2=3x^2-x-4#
#color(blue)"As a check"#
#f(x)+g(x)#
#=5x+2+3x^2-x-4=3x^2+4x-2=color(red)(h(x))#
