Given $f ( x ) = \frac { x - 4 } { x - 1 }$

question 218

Essay

Given $f ( x ) = \frac { x - 4 } { x - 1 }$ , find an equation of the line(s) tangent to the graph of $y = f ( x )$ and parallel to $y - 3 x + 7 = 0$ .

---

Definitions:

Labor

Human effort, whether physical or mental, exerted in the production of goods and services.

Car Detailing

A service performed on a vehicle to restore its cleanliness and appearance, both inside and out, often including paint care, interior detailing, and wheel cleaning.

Marginal Product

The increase in output that results from a one-unit increase in the quantity of a single input, holding the quantities of all other inputs fixed.

Average Product

It is the output that is produced, on average, by each unit of input in the production process, like labor or machinery.