Question

Find domain of the function f(x)=x²+3x+5/x²-5x+4

Answer 1

ai guess it might help
the answer is. R - { 4, 1 }

Answer 2

Domain value of function $f(x)$ is $(1,4)$.

Step-by-step explanation:

Given,

Domain of the function $f(x)=\frac{x^{2}+3x+5}{x^{2}-5x+4}$

∴ $f(x)=\frac{x^{2}+3x+5}{x^{2}-5x+4}=\frac{p(x)}{q(x)}$

If $q(x)=0$ then the above function $f(x)$ can't be defined.

So, $x^{2} -5x+4=0$

⇒$x^{2} -4x-x+4=0$

⇒$x(x-4)-(x-4)=0$

⇒$(x-1)(x-4)=0$

∴ $x=1,4$

∴ Domain value of function $f(x)$ is $(1,4)$.