F(x)=1/x^2 and g(x)= 5/x^2
what is the domain of the functions f and g

Restrictions for f and g:  denominators can't be equal to zero.

                        1 
•  For  f(x)  =  —— :
                        x² 

x² ≠ 0

x ≠ 0

So the domain of f is

Dom(f) = {x ∈ R:  x ≠ 0}

Dom(f) = R*

or using the interval notation,

Dom(f) = ]–∞, 0[ ∪ ]0, +∞[ .



                        5 
•  For  g(x)  =  —— :
                        x²

Since g(x) = 5 · f(x), the restrictions for g are the same:

x² ≠ 0

x ≠ 0

So the domain of g is also

Dom(g) = {x ∈ R:  x ≠ 0}

Dom(g) = R*

or using the interval notation,

Dom(g) = ]–∞, 0[ ∪ ]0, +∞[.

I hope this helps. =)

Tags:  function set domain restriction algebra

Is there a picture because i cannot answer it sorry