Question #N843
The function \(f(x)\) 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 equation \(f(x) = 8\sqrt{x}\). This gives us \(48 = 8\sqrt{x}\). Dividing both sides of this equation by 8 yields \(6 = \sqrt{x}\). This can be rewritten as \(\sqrt{x} = 6\). Squaring both sides of this equation yields \(x = 36\). Therefore, the value of \(x\) for which \(f(x) = 48\) is 36.