Question #N204
The function \(f\) is defined by \(f(x) = 8\sqrt{x}\). For what value of \(x\) does \(f(x) = 48\)?
A. 6
B. 8
C. 36
D. 64
Correct Answer is: C
To solve for x, we substitute 48 for f(x) in the given equation, which yields 48 = 8√x. Dividing both sides of this equation by 8 yields 6 = √x. This can be rewritten as √x = 6. Squaring both sides of this equation yields x = 36. Therefore, the value of x for which f(x) = 48 is 36.