Let , so that differentiating both sides wrt
gives
If and
, the above reduces to
This is the slope of the tangent line, which has equation
What do both of these functions have in common? f(x)=3/2 (x-7) -2 g(x) = 1.5ln(x-2)+7
1 answer:
Both the function have same vertical stretch of 1.5 , Option B is the correct answer.
<h3>What is a Function ?</h3>A function is a law that relates a dependent and an independent variable.
The functions given in the question is
f(x) = 3/2 |(x -7)| -2
g(x) = 1.5 ln(x-2)+7
For a function f(x)
f'(x) = a f(x) represents the stretching of a function if a> 1
here the value of a = 1.5 for both the functions , so they have same vertical stretch of 1.5 .
Therefore from the options given , Option B is the correct answer.
The complete question is attached as an Image.
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