(a)

The function .

Where

y = The exhaust temperature in degrees Fahrenheit.

x = The percent load for a diesel engine.

Find inverse function.

Consider . \ \

Interchange x and y.

\ \

Solve for y.

\ \

\ \

\ \

The inverse function .

Where

x = The exhaust temperature in degrees Fahrenheit.

y = The percent load for a diesel engine.

(b)

The inverse function is .

Graph the inverse function .

1. Draw a coordinate plane.

2. Graph the inverse function .

Graph : \ \

(c)

Find the maximum load plugging by in 500.

Consider .

Substitute in above function.

The maximum load plugging in 500 is .

Thus, the interval is .

(a)

The inverse function .

(b)

Graph : \ \

(c)

The percent of load .