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Sagot :
The equation for function g is given by using translational ideas:
g(x) = 7x/3 + 1.
What does translation mean?
According to operations like multiplication or sum/subtraction either in its definition or in its domain, a translation is represented by a change in the function graph. Examples include shifting to the left or right or up or down, compressing or stretching vertically or horizontally, and reflecting over the x- or y-axis.
Given that f(x) exists, obtaining f is equal to compressing horizontally by a factor of a. (ax).
The function in this issue is as follows:
f(x) = 7x + 1.
We have the following for a horizontal compression of 1/3:
g(x) = f(1/3x) = 7x/3 + 1.
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