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