If f(x) = 3x + 10 and g(x) = 2x– 4, find (f+ g)(x).

5x+6

Step-by-step explanation:

f(x) = 3x + 10

g(x) = 2x– 4

(f+ g)(x) = 3x+10 + 2x-4

Combine like terms

           = 5x+6

5x + 6

Step-by-step explanation:

 (f+ g)(x) = 3x + 10 +  2x– 4

               = 5x + 6

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)