Question

PLZ HELP ME: Show all work to identify the asymptotes and state the end behavior of the function f of x is equal to 6x divided by the quantity of x minus 36 end quantity.

Answer 1

Given:
\[f(x)\frac{ 6x }{ x-36 }\]
Apply rule of (example):\[(a)=a\]
So it'd be this for our function:
\[(x)=x\]
\[=fx \frac{ 6x }{ x-36 }\]
Apply fraction rule(example):
\[a \times \frac{ b }{ c }=\frac{ a \times b }{ c }\]
Our function will look like:
\[=\frac{ fx \times 6x }{ x-36 }\]
Apply exponent rule (example):\[aa=a^2\]
Our function:
\[xx=x^2\]
\[=\frac{ fx^2 \times 6 }{ x-36 }\]
Leading us with our final answer:
\[=\frac{ 6fx^2 }{ x-36 }\]