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)) = **

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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: