HELP PLEASE!!! Suppose that the functions r and s are defined for all real numbers x as follows. r(x)=x-2 s(x)=4x+6. Write the expressions for (r-s) and (r+s)(x) and evaluate (r*s)(3).

Answer 1

r(x) = x - 2

s(x) = 4x + 6

(r - s)(x) = r(x) - s(x) = (x - 2) - (4x + 6)

= x - 2 - 4x - 6

= -3x - 8

(r + s)(x) = r(x) + s(x) = (x - 2) + (4x + 6)

= x - 2 + 4x + 6

= 5x + 4

(r • s)(3) = r(3) • s(3) = (3 - 2)[4(3) + 6]

= (1)(12 + 6)

= (1)(18)

= 18

Answer 2

(r -s)(x) = x - 2 - (4x + 6) = x - 2 -4x - 6 = -3x -8

(r+s)(x) = x - 2 + 4x + 6 = 5x + 4

(r*s)(3) = ( x - 2)( 4x+6) = ( 3 -2)( 4(3) + 6) = 18