The line L is tangent to the graphs of both ƒ and the inverse function ƒ¨‍¹. y L x (e) Find the shaded area enclosed by the graphs of f and f¯¹ and the line L. The shaded region A is enclosed by the graph of ƒ and the lines y = x and L. ν L y=x P A >x (d) (i) Find the x-coordinate of the point where I intersects the line y = x. (ii) Hence, find the area of A.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
Question

Refer to attached image

The line L is tangent to the graphs of both ƒ and the inverse function ƒ¨‍¹.
y
L
x
(e)
Find the shaded area enclosed by the graphs of f and f¯¹ and the line L.
Transcribed Image Text:The line L is tangent to the graphs of both ƒ and the inverse function ƒ¨‍¹. y L x (e) Find the shaded area enclosed by the graphs of f and f¯¹ and the line L.
The shaded region A is enclosed by the graph of ƒ and the lines y = x and L.
ν
L
y=x
P
A
>x
(d)
(i)
Find the x-coordinate of the point where I intersects the line y = x.
(ii) Hence, find the area of A.
Transcribed Image Text:The shaded region A is enclosed by the graph of ƒ and the lines y = x and L. ν L y=x P A >x (d) (i) Find the x-coordinate of the point where I intersects the line y = x. (ii) Hence, find the area of A.
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