Answer:
{x|⅘ ≠ x} → Set-Builder Notation
(-∞, ⅘) ∪ (⅘, ∞) → Interval Notation
Step-by-step explanation:
Plug the g(x) function into the f(x) function for every x you see.
Answer:
domain is the set of all real numbers except 0
Step-by-step explanation:
If f(x)=x-3/x and g(x)=5x-4
(f•g)(x) is f(x) times g(x)
multiply f(x) and g(x)
(f•g)(x) is f(x) times g(x)
Replace f(x) and g(x)
[tex]f(x) \cdot g(x)= (x-\frac{3}{x})(5x-4)[/tex]
Apply FOIL method to multiply it
multiply x inside the parenthesis
[tex]5x^2-4x[/tex]
Multiply the fraction inside the parenthesis
[tex]-5 +\frac{12}{x}[/tex]
[tex]5x^2-4x -5 +\frac{12}{x}[/tex]
We have x in the denominator . Domain is the set of x value for which the function is defined.
When denominator x is 0 then the function is undefined
So domain is the set of all real numbers except 0
