15. a) Consider f(x) = x-1 3x+2 and use the difference quotient to determine the simplified expression in terms of x, for the slope of any tangent to y = f(x). Also, determine the slope at x = 2. 15 b) Determine the equation of the tangent to f(x) at x = 2. Final answer in Standard Form Ax + By + C = 0, A ≥ 0, with no fractions or decimals.
15. a) Consider f(x) = x-1 3x+2 and use the difference quotient to determine the simplified expression in terms of x, for the slope of any tangent to y = f(x). Also, determine the slope at x = 2. 15 b) Determine the equation of the tangent to f(x) at x = 2. Final answer in Standard Form Ax + By + C = 0, A ≥ 0, with no fractions or decimals.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.4: Operations On Functions
Problem 124E
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Transcribed Image Text:15. a) Consider f(x)
=
x-1
3x+2
and use the difference quotient to determine the
simplified expression in terms of x, for the slope of any tangent to y = f(x).
Also, determine the slope at x = 2.
15 b) Determine the equation of the tangent to f(x) at x = 2. Final answer in Standard
Form Ax + By + C = 0, A ≥ 0, with no fractions or decimals.
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