Question

what x-value makes this undefined
f(x)=4x+1/x^2+5x+4

Answer 1

Set the denominator equal to zero, and solve for x.

\(\normalsize\color{blue}{ x^2+5x+4=0\LARGE\color{white}{ \rm │ }}\) (factor the left side)

Answer 2

@CoolRanchDoritos , is there anything that is troubling you ?

Answer 3

is it x+4 and x+1?

Answer 4

When you factor, yes

\(\normalsize\color{blue}{ x^2+5x+4=(x+4)(x+1)\LARGE\color{white}{ \rm │ }}\), so x=?

Answer 5

what are the 2 solutions ?

Answer 6

The 2 solutions you are going to get make the entire fraction undefined, because with them the denominator is equal to zero, and `anything / zero` = undefined.

Answer 7

\(\normalsize\color{blue}{(x+4)(x+1)=0\LARGE\color{white}{ \rm │ }}\)
\(\normalsize\color{blue}{x+4=0~~~~~~~~~or~~~~~~~~x+1=0\LARGE\color{white}{ \rm │ }}\)
\(\normalsize\color{blue}{x=-4~~~~~~~~~~~~~~~~~~~~~~~~x=-1\LARGE\color{white}{ \rm │ }}\)

Answer 8

o ok thank you vary much