Answer:
g(x)=5x+7
Step-by-step explanation:
f(x)+g(x)=9x+4
We are given f(x)=4x-3.
So we insert 4x-3 for f:
4x-3+g(x)=9x+4
Subtract 4x on both sides:
-3+g(x)=5x+4
Add 3 on both sides:
g(x)=5x+7
Check:
f(x)+g(x)
=(4x-3)+(5x+7)
=(4x+5x)+(-3+7)
=(9x) +(4)
=9x+4
Bingo. We did it! :)