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  4. Let f(x)= ln x and g(x)=(x4-2 x3+3 x2-2 x+2/2 x2-2 x+1). The domain of the composite function f ° g(x) is

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Q. Let $f(x)=\ln x$ and $g(x)=\frac{x^4-2 x^3+3 x^2-2 x+2}{2 x^2-2 x+1}$. The domain of the composite function $f \circ g(x)$ is

Relations and Functions - Part 2

Solution:

denominator $\neq 0$ and numerator $\left(x^4+3 x^2+2\right)-2 x\left(x^2+1\right)=\left(x^2+1\right)\left((x-1)^2+1\right)$