Suppose that the functions r and s are defined for all real numbers x as follows. r(x)=2x-1 s(x)=6x write the expression for (r*s)(x) and (r-s)(x) and evaluate (r=s)(4)

Answer 1

r*s = (2x-1)(6x) = 12 x^2 - 6x
r(s(x)) = 2 (6x) - 1 = 12 x - 1
r(x) - s(x) = (2x-1) - 6x = -4x -1
r(x) = s(x) when 2x-1 = 6x or x = -1/4
r(4) = s(4) never
(r*s)(4) = 12 x^2 - 6 x = 12*16 - 24 = 168
pick whatever you mean