Question

Find the domain of
the function
F(x) = x2+3x+5/
x2–5x+4​

Answer 1

Answer:

f(x)=(x²+3x+5)/(x²–5x+4) are given function

To finds its domain.the denominator part is ≠0

So,x²–5x+4≠0

Then,factorize it by splitting a middle term we get

»x²–x–4x+4≠0

»x(x–1)–4(x–1)≠0,by taking common factor(x–1)

»(x–1)(x–4)≠0

(x–1)≠0, (x–4)≠0

x≠1, x≠4

Therefore,domain of given function R–{1 , 4}

or All Real number except 1 and 4

I hope it is helpful to you