Question

Find (q o r) () and write the domain in interval notation, where q() = 7/-1 and r() = 9/². The domain of (q o r) () is ______

Answer 1

To find (q o r), substitute the value of r() into q(). The domain of (q o r) is all real numbers.

Step-by-step explanation:

To find (q o r) (), we need to substitute the value of r() into q().

Given q() = 7/-1 and r() = 9/², we substitute r() into q():

q o r() = q(r()) = q(9/²) = 7/(9/²) = 7 * (²/9) = 7/9 * ² = 14/9

Therefore, (q o r) () = 14/9.

The domain of (q o r) () is all real numbers because there are no restrictions on the values that can be substituted into the expression.

The domain in interval notation is (-∞, ∞).