Free SAT Practice Question

Question 1 of 1
ID: SAT-HA-7
Section: Math - Heart of Algebra
Topic: Functions
Difficulty level: Hard

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If $f(x)=2x-3$ and $g(x)=\frac{2x^2-5x+3}{x-1}$, which of the following statements is true about the graphs of $f(x)$and $g(x)$ in the $x-y$ plane? (Without calculator)

AThe graphs are exactly the same

BThe graphs are same except when $x=1$

CThe graphs have finite number of points in common

DThe graphs are same except when $x=\frac{3}{2}$