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Q.
The domain of the function $f\left(x\right)=\frac{x^{2}+3x+5}{x^{2}-5x+4}$ is
Relations and Functions
Solution:
Since $x^2 - 5x + 4 = (x - 4)(x - 1)$, the function $f$ is defined for all real numbers except $x = 4$ and $x = 1$.
Hence the domain of $f$ is $R - \{1,4\}$.