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Q.
Consider the function $y=f(x)=x^2-6 x+5$
Range of the function $y=\ln ( f ( x ))$ is
Relations and Functions - Part 2
Solution:
$f(x)=x^2-6 x+5$
$f^{\prime}(x)=2 x-6=0$
$x=3$
also $f ^{\prime \prime}( x )=2$
$f ( x )]_{\min .}=9-18+5=-4$
For range $y =\ln ( f ( x ))$ for $ x>5$
or $x<1$ $f ( x )>0$
Hence range of $g(x)$ is $R$.
