+360 About combining functions
1.
Given f(x)=2x^2+3x and g(x)=5x^2−2x−6 .
What is (f+g)(x) ?
Choices
7x^2+x−6
10x^2+x+6
3x^2−5x−6
−3x^2+5x+6
2.
Given f(x)=3x^2+10x−8 and g(x)=3x^2−2x .
What is (f/g)(x) ?
Thanks!!!!!!!!!!!
+129850 (f + g) (x) = f(x) + g(x) = [ 2x^2 + 3x ] + [ 5x^2 - 2x - 6 ] = 7x^2 + x - 6
( f /g)(x) = f(x) / g(x) =
3x^2 + 10x - 8 (3x - 2) (x + 4) x + 4
____________ = ____________ = _____ { x not equal to 0 or 2/3 }
3x^2 - 2x x (3x - 2) x
+360 Thank you CPhill!! It helps to see how its done before I try my hand at some of these :)
