Question

2. Find the domain of each of the functions. Write the answers in interval notation. a) f(x) = x+5 x²-9 b) f(x)=√2x-5

Answer 1

See below for answers and explanations

Explanation:

Part A

`\displaystyle f(x)=(x+5)/(x^2-9)\\\\f(x)=(x+5)/((x+3)(x-3))\\\\(-\infty,-3)\cup(-3,3)\cup(3,\infty)`

Part B

`\displaystyle f(x)=√(2x-5)\\\\2x-5\geq0\\2x\geq 5\\x\geq (5)/(2)\\\\\biggr[(5)/(2),\infty\biggr)`