Question 1187171
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Find the x-intercepts (horizontal intercepts) of the function:
f(x)=4|x−3|−1
The intercepts are at x=
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x-intercepts are the zeros of the function f(x),  i.e. the roots of the equation f(x) = 0,  which is

    4*|x-3| - 1 = 0.


It is equivalent to  

    4*|x-3| = 1,   or   |x-3| = {{{1/4}}}.


The last equation describes the points in the number line that are remoted exactly 0.25 units from the number (point) 3.

So, its roots are  3-0.25 = 2.75  and/or  3+0.25 = 3.25.


<U>ANSWER</U>.  The sough x-intercepts are the points  2.75  and  3.75  of x-axis.
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Solved.