Chapter 5: Q 8. (page 256)

Evaluate each expression using the values given in the table.
(a) $(f \circ g) (1)$ (b) $(f \circ g) (2)$ (c) $(g \circ f) (2)$ (d) $(g \circ f) (3)$ (e) $(g \circ g) (1)$ (f) $(f \circ f) (3)$ .

Short Answer

Expert verified

The value is

(a) 5 (b)-8(c) 0 (d) 0 (e) 1 (f) 7.

Step by step solution

Step 1. Given information.

The evaluation of the functions are :(a) $(f \circ g) (1)$ (b) $(f \circ g) (2)$ (c) $(g \circ f) (2)$ (d) $(g \circ f) (3)$ (e) $(g \circ g) (1)$

(f) $(f \circ f) (3)$ .

Step 2. The evaluation of a functional value.

The functional value are :

(a) $(f (g (1))) = f (0) = 5$ .

(b) $(f (g (2))) = f (- 3) = - 8$ .

(d) $(g (f (3))) = g (- 1) = 0$ .

(e) $(g (g (1))) = g (0) = 1$ .

(f) $(f (f (3))) = f (- 1) = 7$ .

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Evaluate each expression using the values given in the table.
(a) $(f \circ g) (1)$ (b) $(f \circ g) (2)$ (c) $(g \circ f) (2)$ (d) $(g \circ f) (3)$ (e) $(g \circ g) (1)$ (f) $(f \circ f) (3)$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. The evaluation of a functional value.

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Evaluate each expression using the values given in the table.(a) f∘g1(b) f∘g2(c) g∘f2(d) g∘f3(e) g∘g1(f) f∘f3.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. The evaluation of a functional value.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

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Study anywhere. Anytime. Across all devices.

Evaluate each expression using the values given in the table.
(a) $(f \circ g) (1)$ (b) $(f \circ g) (2)$ (c) $(g \circ f) (2)$ (d) $(g \circ f) (3)$ (e) $(g \circ g) (1)$ (f) $(f \circ f) (3)$ .