Question

For what values (cases) of the variables the expression does not exist: 2%7D" id="TexFormula1" title="\frac{3}{4y+2}" alt="\frac{3}{4y+2}" align="absmiddle" class="latex-formula">

Answer 1

Answer:

y = - $\frac{1}{2}$

Step-by-step explanation:

Given

$\frac{3}{4y+2}$

The denominator of the expression cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that y cannot be, that is

4y + 2 = 0 ( subtract 2 from both sides )

4y = - 2 ( divide both sides by 4 )

y = $\frac{-2}{4}$ = - $\frac{1}{2}$ ← excluded value