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Given f(x)=x4x1f ( x ) = \frac { x - 4 } { x - 1 }

question 218

Essay

Given f(x)=x4x1f ( x ) = \frac { x - 4 } { x - 1 } , find an equation of the line(s) tangent to the graph of y=f(x)y = f ( x ) and parallel to y3x+7=0y - 3 x + 7 = 0 .


Definitions:

Sinking

The process where land or objects gradually go down or submerge in water or another medium.

Ground

The solid surface of the Earth, or a reference point in electrical engineering for a return path for electric current.

Earth's Water

The total amount of water found on, under, and above the surface of the Earth, including oceans, ice caps, groundwater, lakes, and atmospheric water vapor.

Fresh Water

Water that has low concentrations of dissolved salts and other total dissolved solids, typically found in lakes, rivers, and groundwater.

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