The graphs of [tex]f(x)[/tex] and [tex]g(x)[/tex] are presented in the image attached below.
How to graph two functions with a graphing tool
In this question we must have a knowledge of rigid transformations to comprehend differences between two given functions. A transformation is rigid when Euclidean distance is conserved.
The function [tex]g(x)[/tex]translation in the [tex]-x[/tex]semiaxis on [tex]f(x)[/tex]functions by means of a graphing tool (i.e. Desmos). Following figure includes the representation of both functions.
Since both [tex]f(x)[/tex] and [tex]g(x)[/tex] are linear functions, each line can be constructed by known two distinct points. The image is presented below. [tex]\blacksquare[/tex]
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