Answer with Step-by-step explanation:
We are given that an expression
[tex]f(g)=\frac{g^2-7g+10}{g^3-6g^2+8g}[/tex]
We have to find domain restriction of the given function.
[tex]f(g)=\frac{(g-5)(g-2)}{g(g-4)(g-2)}[/tex]
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
