Question

Enter the correct answer in the box. the function f(x) = 7x 1 is transformed to function g through a horizontal compression by a factor of . what is the equation of function g? substitute a numerical value for k into the function equation.

Answer 1

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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