Hello, I need help with these three problems I'm not good with this so I'd appreciate help :)
3rd question (this looks sooo difficult!):
Only the last one is actually tough....the notation may be giving you trouble......
(f + g)(x) means f(x) + g(x) = [ 5x^2 - 2x ] + [ 3x^2 + x - 4 ] = 8x^2 - x - 4
(f * g) (x) means f(x) * g(x) =
[ 3x^2 + 5 ] * [ x - 2 ] =
3x^3 - 6x^2 + 5x - 10
(f / g)(x) = f(x) / g(x)
[ hint : factor the denominator first....see if you can use one of these factors in the numerator !!!]
4x^2 + 19x - 5 (4x - 1)(x + 5) x + 5
____________ = ____________ = ______
4x^2 - x x(4x - 1) x
Note that either x = 0 or x = 1/4 makes the second denominator 0....so...we can't have these values of x
So...... third answer !!!