Question

Consider the combined function. f(X) + g(X) = 9x + 4 . If f(x) = 4x - 3, find g(x)

Answer 1

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! :)