Answer:
12.6 hp
Step-by-step explanation:
Represent the input by n. 10.75 hp
Then 0.85n = 10.75 hp, and n (the input) is --------------- = 12.6 hp
0.85
Parallel bc the slopes the same!
F(x)/g(x) = (2x +3)(x -1)/(x -1) = 2x +3 . . . . . x ≠ 1
The domain of (f/g)(x) is all real numbers except 1.
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The domain of any rational function necessarilly excludes any values that make the function undefined, that is, that make the denominator zero.
Find the intersection point between the 2 restraint equations:

Substitute back in to find y-value:

P is maximized at point (12,6)