Question

What are the domain restrictions of the expression g2−7g+10g3−6g2+8g ? Select each correct answer.

Answer 1

Answer with Step-by-step explanation:

We are given that an expression

`f(g)=(g^2-7g+10)/(g^3-6g^2+8g)`

We have to find domain restriction of the given function.

`f(g)=((g-5)(g-2))/(g(g-4)(g-2))`

Domain restriction means : It is that value of x when substitute in function then function will not defined.

It means it is that values which makes denominator zero.

From given function we can see that

When substitute g=0 then it makes denominator zero.

Hence, the function is not defined at g=0

Substitute g=4

Then, it makes denominator zero.

Hence, function is not defined at g=4

Substitute g=2

Then,it makes denominator zero.

Hence, function is not defined at g=2

Therefore, the function is defined for all values of g except g=0, g=2 and g=4