Consider the equation 4x−2=−2(ax+3), with constant a. which of the following statements is true about the solution to the equation?

there is no value of a for which the equation will have no solution.

if a=2, then there is no solution.

if a=0, then there is no solution.

if a=−2, then there is no solution.

If a= − 2, then there is no solution.

Step-by-step explanation:

4x−2=−2(ax+3)

2) a=0 one solution

4x - 2 = - 2(0x + 3)

4x - 2 = -6

4x = - 4

x = -1

1) a =2 one solution

4x−2=−2(2x+3)

4x - 2 = - 4x -6

8x = -4

x = - 1/2

3) a = -2   no solution

4x−2=−2(-2x+3)

4x - 2 = 4x - 6

4x-4x= - 6+2

0 = - 4 , wrong, so no solution

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3