Use fx 3x 4 and gxx x2 to evaluate f g2 2 Use fx x 3 a
Use f(x) = 3x + 4 and g(x)=x - x^2 to evaluate (f + g)(2). 2) Use f(x) = x - 3 and g(x) = x + 3 to evaluate (fg)(-2).
Solution
1) f(x) = 3x+4 ; g(x) = x-x^2
(f+g)(2)
find ( f+g)(x) = 3x+4 +x-x^2 = -x^2 +4x +4
(f +g)(2) = -(2)^2 +4*2 +4 = -4 +8 +4 = 8
2) f(x) = x-3 ; g(x) = x+3
(fg)(x) = (x-3)(x+3) = x^2 -9
(fg)(-2) = (-2)^2 -9 = 4 -9 = -5
