f ( x ) = 4 x − 1 2 x + 1 How do u find the x and y intercept? for wich values of x is f(x) less than or equal to 0

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f  (  x  )  =            4      x      −      1              2      x      +      1       How do u find the x and y intercept? for wich values of x is f(x) less than or equal to 0

Salvador Howard · Accepted Answer

to find x intercept set y = 0  y  =            4      x      −      1              2      x      +      1        0  =            4      x      −      1              2      x      +      1        4  x  −  1  =  0  ×  (  2  x  +  1  )4x-1=04x=1  x  =      1    4    → x interceptto find y intercept set x = 0  y  =            4      (      0      )      −      1              2      (      0      )      +      1        y  =            −      1              +      1        y  =  −  1  → y interceptvalues of x for which f(x) &amp;lt;= 0, for this condition solve thetop part for &amp;lt;= 0  4  x  −  1  ≤  0 the bottom part cannot be zero but can be negative, so solve for &amp;lt; 0  4  x  ≤  1  2  x  +  1  &amp;lt;  0  x  ≤      1    4    2  x  &amp;lt;  −  1  x  &amp;lt;  −      1    2   (at this point the function isundefined so we EXCLUDE this point in answer)as you can see that the first answer already includes the secondone so your answer is  x  ≤      1    4   and   x  ≠  −      1    2

f(x)=(4x-1)/(2x+1) How do u find the x and y intercept? for wich values of x is f(x) less than or equal to 0.

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