Part A: Simplify the expression. Show all work.Part B: What is the domain of the function? Show all work.Part C: Explain why the expression in the denominator must be set equal to zero when determining the function'sdomain.

Part A Simplify the expression Show all workPart B What is the domain of the function Show all workPart C Explain why the expression in the denominator must be class=

Respuesta :

[tex]\begin{gathered} \frac{4}{6m^2}-\frac{5-m^2}{4m}=\frac{4\cdot2-(5-m^2)\cdot3m}{12m^2}=\frac{8-(15m-3m^3)}{12m^2}= \\ =\frac{8-15m-3m^3}{12m^2} \end{gathered}[/tex]

B. The domain of a function is the set that contains every possible value for the independent variable (in this case, m). Given that you cannot divide by zero then

[tex]\begin{gathered} 12m^2\ne0 \\ m^2\ne0 \\ m\ne0 \end{gathered}[/tex]

Then, the domain is all real numbers except zero.

C. The expression in the denominator must be set equal to zero because you can't divide by zero.