If f(x)=x+8 and g(x)=-4x-3, find (f+g)(x)

1 answer

To find \((f+g)(x)\), we need to add the functions \(f(x)\) and \(g(x)\).

Given:

  • \(f(x) = x + 8\)
  • \(g(x) = -4x - 3\)

Now, we can find \((f + g)(x)\):

\[ (f + g)(x) = f(x) + g(x) \] \[ = (x + 8) + (-4x - 3) \] \[ = x + 8 - 4x - 3 \] \[ = (x - 4x) + (8 - 3) \] \[ = -3x + 5 \]

Thus, \((f+g)(x) = -3x + 5\).