Let f be a differentiable function with f(4) = 6 and f' (4) = 2, and let g be the function defined by g(x) = x · f(x). Which of the following is an equation of the line tangent to the graph of g at the point where x 4 ? O y = 2x O y- 24 = 14(x – 4) O y - 6 = 2(x - 4) O y-6 14(x - 4)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter3: Functions
Section3.7: Inverse Functions
Problem 2SE: Why do we restrict the domain of the function f(x)=x2 to find the function's inverse?
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Let f be a differentiable function with f(4) = 6 and f' (4) = 2,
and let g be the function defined by g(x) = x .
f(x).
Which of the following is an equation of the line tangent to the
graph of g at the point where x = 4 ?
O y = 2x
O y- 24 = 14(x - 4)
%3D
O y - 6 = 2(x – 4)
O y- 6 14(x – 4)
Transcribed Image Text:Let f be a differentiable function with f(4) = 6 and f' (4) = 2, and let g be the function defined by g(x) = x . f(x). Which of the following is an equation of the line tangent to the graph of g at the point where x = 4 ? O y = 2x O y- 24 = 14(x - 4) %3D O y - 6 = 2(x – 4) O y- 6 14(x – 4)
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