The function f is defined by f(x)=8sqrt (x) For what value of x does f(x)=48 ? a 64 b 6 C 36 d 8

To find the value of x for which f(x) = 48, we need to solve the equation f(x) = 48.Given that f(x) = 8√x, we can substitute this into the equation:8√x = 48To isolate √x, we divide both sides of the equation by 8:√x = 48/8Simplifying the right side, we have:√x = 6To eliminate the square root, we square both sides of the equation:(√x)^2 = 6^2Simplifying further, we get:x = 36Therefore, the value of x for which f(x) = 48 is 36. The correct answer is C.