Question

[
F(x)=log |x|+frac{1}{sqrt{x}}+frac{1}{log |x|}
]
Domain,
[
begin{array}{l}
log _{1 x 1},|x|>0 rightarrow 0
frac{1}{sqrt{x}}, sqrt{x} eq 0 quad & x>0 rightarrow(2)
end{array}
]
( frac{1}{1.01 times 1} 9 quad log |x| eq 0 )
( log |x| )
[
begin{aligned}
Rightarrow & mid begin{array}{ll}
|x| & eq(e)^{rho}
x & eq+1
end{array} rightarrow(3)
end{aligned}
]
Now
Intersetion of 0 (2) ( (3 w e x )
[
begin{array}{c}
x in R-{0,-1,1}
Leftrightarrow R=A
S_{0} text { set } A={-1,0,+}
end{array}
]

# (3) lue2 ) 21. The domain of f(x) = log|x|+ Tixi log1 x R-A where A is the set (1) {-1, 0, 1} (2) {-1, 1) (3) {2, 3, 4} (4) {0, 1, 2)

Solution