1. Determine the domain of f(x) = √x-5
2. Find the difference quotient for f(x) = 4x^2 - 2x
3.Let f(x)= x^2 - 25 and g(x) = x + 5. Find and simplify
a. (f - g)(x)
b. (f/g)(x)

Question

1. Determine the domain of f(x) = √x-5
2. Find the difference quotient for f(x) = 4x^2 - 2x
3.Let f(x)= x^2 - 25 and g(x) = x + 5. Find and simplify
  a. (f - g)(x)
  b. (f/g)(x)

anonymous · Answer

First one $$f(x)=\sqrt{x-5}?$$

anonymous · Answer

yes

anonymous · Answer

Under the radical has to be greater than or equal to 0 right? cant have a negative under there. 

so $$x-5\ge0$$

anonymous · Answer

Ok. So thar is the domain x-5≥0?

anonymous · Answer

Well solve for x.

$$x \ge5$$

in interval notation that would be $$[5,\infty)$$