Evaluate (f *g)(x) if f(x) = 2x^2 and g(x) = 3x – 2.

6x^3 - 4x^2

Step-by-step explanation:

f(x) = 2x^2 and g(x) = 3x – 2

(f*g) (x) =  2x^2 * (3x-2)

           = 6x^3 - 4x^2

18x^2 - 24x + 8

Step-by-step explanation:

(f*g)(x) = f(g(x))

f(3x-2) =

substitute g(x) into the x of the f(x) function

2(3x-2)^2 = 2(9x^2 - 12x + 4) = 18x^2 - 24x + 8

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

is there a picture

step-by-step explanation: