Two functions, f(x) and g(x) are shown on the graph below. Read each statement below and select all statements that are TRUE based on information contained in the graph.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Two functions, f(x) and g(x) are shown on the graph below. Read each statement
below and select all statements that are TRUE based on information contained in
the graph.
-10 -8
-6
-4
-2
10
9
7
6
5
4
3
2
11
-11
-2
2
-4
-5
-6
-8
-9
10
2
4
10
f(x)
g(x)
O The inverse of the point located on g (x) at (0,9) is on the y-axis.
ONeither f(x) nor g(x) have an inverse at x = 4.5.
Of(x) and g(x) are inverses of one another.
The line y = x is a line of reflection between the points on f (x) and g(x).
O The inverse of the point (0, -3) on f(x) is on g(x).
Transcribed Image Text:Two functions, f(x) and g(x) are shown on the graph below. Read each statement below and select all statements that are TRUE based on information contained in the graph. -10 -8 -6 -4 -2 10 9 7 6 5 4 3 2 11 -11 -2 2 -4 -5 -6 -8 -9 10 2 4 10 f(x) g(x) O The inverse of the point located on g (x) at (0,9) is on the y-axis. ONeither f(x) nor g(x) have an inverse at x = 4.5. Of(x) and g(x) are inverses of one another. The line y = x is a line of reflection between the points on f (x) and g(x). O The inverse of the point (0, -3) on f(x) is on g(x).
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