Answer:
domain = ( -∞ , ∞ ) , x: x≠0
Range = ( -∞ , ∞ ) , y : y ≠0
Step-by-step explanation:
Given :
[tex]f(x)[/tex] = [tex]\frac{1}{3x^{7} }[/tex]
To find the domain , all we need do is to equate the function to zero , that is , we need to find the value of x for which the function is undefined, that is :
[tex]3x^{7} = 0[/tex]
divide through by 3
[tex]x^{7}=0[/tex],
Therefore :
[tex]x = 0[/tex]
This means that the domain of the function is the value of x that will make the function define , which is ( -∞ , ∞ ).
The range is therefore the values of y , which will also be ( -∞ , ∞ )
