# There is one and only one answer to this

Algebra Level 4

$f(x)=\frac{2 x^2+3 x-2}{x^2-3 x-4}\times\frac{(x-4)^2}{(x^2-4)(x-3)}\times\frac{x^2-x-2}{x-4}\div\frac{2x^2-x}{x^2-3x}$

Consider this expression above. Which of the following statements is correct?

A: A graph of $$y=f(x)$$ will intersect with the graph $$y=x$$ at the point $$(1,1)$$.

B: $$f(x)$$ can be simplified as $$Mx+N$$ where $$M$$ and $$N$$ are non-zero constants and $$N=1$$.

C: A graph of $$y=f(x)$$ has a $$y$$-intercept where $$y=1$$.

D: $$f(x)$$ is undefined for exactly 4 values of $$x$$.

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