Ask a New Question

Asked by Dot

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)
5 years ago

Answers

Answered by Damon
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
5 years ago

Related Questions

Suppose f and g are functions that are differentiable at x=1 and that f(1)= 2, f'(1)= -1, g(1)= -2,... Suppose that the functions f and g are defined for all real numbers x as follows.f(x)=x+4,g(x)=3x+2.... Suppose that the functions S and T are define for all real numbers x as follow. s(x)=x-3 t(x)=3x... Suppose that the functions s and t are defined for all real numbers x as follows s(x) x-4 and t(x)=4... Suppose the functions f and g and their derivatives have the following values at x = 1 and x = 2. Le... Suppose that the functions p and q are defined as follows. p(x)=x+1 q(x)=-x^2-1 Find the followin... Suppose the functions q and r are defined as follows. q(x)=x^2+6 r(x)=sqrtx+1 Find the following... Suppose that the functions q and r are defined as follows. q (x) = -3x-2 r(x) =8+4 Find the fol...
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use