F(x) = 3x^2 + 4x - 6
g(x) = 6x^3 – 5x^2 - 2
Find (f - g)(x).

(f-g)(x) = -6x^3 + 8x^2 + 4x - 4

Step-by-step explanation:

subtract g(x) from f(x)

(f-g)(x) = (3x^2 + 4x - 6) - (6x^3 - 5x^2 -2)

distribute the negative

(f-g)(x) = 3x^2 + 4x - 6 - 6x^3 + 5x^2 +2

like terms and in order of exponent

(f-g)(x) = -6x^3 + 8x^2 + 4x - 4

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

1,8,15,22,29,36,43,50

step-by-step explanation: