a. Are f(x) = x19 and g(x) = x inverses of each other? b. Graph fand g over an x-interval large enough to show the graphs intersecting at (1,1) and (-1,- 1). c. Find the slopes of the tangents to the graphs of fand g at (1,1) and (-1,- 1). d. What lines are tangent to the curves at the origin? a. Choose the proof that shows f(x) =x19 and g(x) = x are inverses of each other below. OA. O B. f(x) = x19 OC. f(x) = x19 f(g(x)) = (#)' f(g(x)) = x 19 f(x) = x19 f(@x) = () 19 f(g(x)) = x 1(FOX)) = (x1º) 19 f(T(x)) = x381 9(x) = 9(fix)) = 119 g(f(x)) = x g6x) = g(g(x)) = /19% g(9(x)) = **
a. Are f(x) = x19 and g(x) = x inverses of each other? b. Graph fand g over an x-interval large enough to show the graphs intersecting at (1,1) and (-1,- 1). c. Find the slopes of the tangents to the graphs of fand g at (1,1) and (-1,- 1). d. What lines are tangent to the curves at the origin? a. Choose the proof that shows f(x) =x19 and g(x) = x are inverses of each other below. OA. O B. f(x) = x19 OC. f(x) = x19 f(g(x)) = (#)' f(g(x)) = x 19 f(x) = x19 f(@x) = () 19 f(g(x)) = x 1(FOX)) = (x1º) 19 f(T(x)) = x381 9(x) = 9(fix)) = 119 g(f(x)) = x g6x) = g(g(x)) = /19% g(9(x)) = **
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
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