we have that
f(x) = x/4 -3
g(x)= 4x²+2x-4
find (f+g)( x)
step 1
adding the two functions together to create a new function.
[x/4 -3]+[4x²+2x-4]
step 2
making everything have a common denominator of 4 we get:
[(x-12+16x²+8x-16)]/4
step3
combine like terms in numerator
(16x²+9x-28)/4-----------> 4x²+(9/4)x-7
the answer is 4x²+(9/4)x-7