Question

30. For what value or values of x, if any, are the following functions not defined?
(i) f(x)=1/ (x3-x) (ii) f(x)=√(1-x2)
(iii) f(x) = 1/ √(1-x) (iv)f(x)= 1/ √(1-x) (x-2)

Answer 1

1

Answer 2

for (i)

the denominator cannot be zero
\[x^3-x=0\Rightarrow x(x^2-1)=0\]

thus x=-1,0,1

Answer 3

-1 and 0 won't make the denominator 0

Answer 4

i) -1, 0, 1
ii)-1,1
iii) 1
iv)1,2

Answer 5

if u want the common answer then thats 1

Answer 6

if we are doing them individually then we should include all the values of x that create a negative value under a radical

Answer 7

true