If \(y = \sqrt{ax-b}\) express x in terms of y, a and b
Answer Details
Given, $y = \sqrt{ax-b}$.
Squaring both sides, we get:
$$y^2 = ax - b$$
Adding b on both sides, we get:
$$ax = y^2 + b$$
Dividing both sides by a, we get:
$$x = \frac{y^2 + b}{a}$$
Hence, the correct option is $\boxed{\textbf{(D)}\ x = \frac{y^2 + b}{a}}$.