Problem 8. Given the function $y=\frac{x+2}{x-3}$. Find $\boldsymbol{E}(f)$.

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Problem 8. Given the function $y=\frac{x+2}{x-3}$. Find $\boldsymbol{E}(f)$.
Rešenje.

$E(f)=\left\{y \mid\right.$ the equation $y=\frac{x+2}{x-3}$ has a solution $\}=\{y \mid$ the equation $y=\frac{(x-3)+5}{x-3}$ has a solution $\}=\left\{y \mid\right.$ the equation $y=1+\frac{5}{x-3}$ has a solution $\}=\left\{y \mid\right.$ the equation $y=1=\frac{5}{x-3}$ has a solution $\}=$ $=\{y \mid y \neq 1\}$.