Given f(x)=3x^2 +9x and g(x) = x^2 - x -12, find (f/g) (x).
(f / g) (x) means f(x) / g(x)......so
3x^2 + 9x 3x ( x + 3) 3x
____________= ____________ = ______ [ x not equal to -3, or 4 ]
x^2 - x - 12 (x - 4)( x + 3) x - 4
Second one
f(x) = g(x)
x^2 - 3x + 7 = x + 3 subtract x + 3 from both sides
x^2 - 4x + 4 = 0 factor
(x - 2)^2 = 0 take the square root
x - 2 = 0 add 2 to both sides
x = 2