Checkpoint: Evaluating Combinations of Functions Solution

Evaluate.

$(f - g) (3), (\frac{f}{g}) (0), (f + g) (- 1)$

$(f - g) (3) = f (3) - g (3) = 3 - (- 1) (f - g) (3) = 4 (\frac{f}{g}) (0) = \frac{f (0)}{g (0)} = \frac{- 1}{1.5} (\frac{f}{g}) (0) = - \frac{2}{3} (f + g) (- 1) = f (- 1) + g (- 1) = 1 + 1 (f + g) (- 1) = 2$

Note

Q: When is it especially important to adhere to the order in which functions are written? Explain.

A: You must pay attention to order with subtraction or division because the commutative property does not apply to these operations.