The function given by y = 0.03x² + 245.50, 0

Question

The function given by y = 0.03x² + 245.50, 0 < x < 100 approximates the exhaust temperature y in degrees Fahrenheit, x where is the percent load for a diesel engine.Find the inverse function. A) $y = \frac { x + 245.50 } { - 0.03 }$ B) $y = \sqrt { \frac { x - 245.50 } { 0.03 } }$ C) $y = \frac { x - 245.50 } { 0.03 }$ D) $y = \sqrt { \frac { x + 245.50 } { 0.03 } }$ E) $y = \frac { x + 245.50 } { 0.03 }$

Quizplus · Accepted Answer

To find the inverse, solve for x: $y = 0.03x^2 + 245.50$. Rearrange to $x^2 = \frac{y - 245.50}{0.03}$, then take the square root: $x = \sqrt{\frac{y - 245.50}{0.03}}$.

The Function Given by Y = 0 y=x+245.50−0.03y = \frac { x + 245.50 } { - 0.03 }y=−0.03x+245.50​

The Function Given by Y = 0 $y = \frac { x + 245.50 } { - 0.03 }$