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)

Answer 1

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

Answer 2

yes

Answer 3

Under the radical has to be greater than or equal to 0 right? cant have a negative under there.

so \[x-5\ge0\]

Answer 4

Ok. So thar is the domain x-5≥0?

Answer 5

Well solve for x.

\[x \ge5\]

in interval notation that would be \[[5,\infty)\]