If #f(x)=x/4-3# and #g(x)=4x^2+2x-4# find #(f+g)(x)# ?

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Answer 1 · 2018-06-15T16:55:29

#(f+g)(x) = 4x^2+9/4x-7#

#(f+g)(x) = f(x)+g(x)#

Substitute #f(x)=x/4-3#:

#(f+g)(x) = x/4-3+g(x)#

Substutitute #g(x)=4x^2+2x-4#:

#(f+g)(x) = x/4-3+4x^2+2x-4#

Combine like terms:

#(f+g)(x) = 4x^2+9/4x-7#