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

$f(g)=\frac{g^2-7g+10}{g^3-6g^2+8g}$

We have to find domain restriction of the given function.

$f(g)=\frac{(g-5)(g-2)}{g(g-4)(g-2)}$

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