Question

Find the domain of the function. Express the exact answer using interval notation.

f(x) = 2/9x+8

Answer 1

The given function is:

f(x) = 2/(9x+8)

The denominator cannot be equal to zero, since division by zero is undefined. Therefore, we need to solve the inequality:

9x+8 ≠ 0

Solving for x, we get:

x ≠ -8/9

Therefore, the domain of the function is all real numbers except -8/9. We can express this in interval notation as:

(-∞, -8/9) U (-8/9, ∞)