# The value of f ( g ( 1 ) ) from the given table.

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

#### Solutions

Chapter 1.3, Problem 50E

(a)

To determine

## To evaluate: The value of f(g(1)) from the given table.

Expert Solution

The value of f(g(1))=5 .

### Explanation of Solution

From the given table the value of g(1) is 6.

Thus, f(g(1))=f(6) .

Evaluate the value of f(6) from the table.

Therefore, the value of f(g(1))=5 .

(b)

To determine

### To evaluate: The value of g(f(1)) from the given table.

Expert Solution

The value of g(f(1))=2 .

### Explanation of Solution

From the given table the value of f(1) is 3.

Thus, g(f(1))=g(3) .

Evaluate the value of g(3) from the table.

Therefore, the value of g(f(1))=2 .

(c)

To determine

### To evaluate: The value of f(f(1)) from the given table.

Expert Solution

The value of f(f(1))=4 .

### Explanation of Solution

From the given table the value of f(1) is 3.

Thus, f(f(1))=f(3) .

Evaluate the value of f(3) from the table.

Therefore, the value of f(f(1))=4 .

(d)

To determine

### To evaluate: The value of g(g(1)) from the given table.

Expert Solution

The value of g(g(1))=3 .

### Explanation of Solution

From the given table the value of g(1) is 6.

Thus, g(g(1))=g(6) .

Evaluate the value of g(6) from the table.

Therefore, the value of g(g(1))=3 .

(e)

To determine

### To evaluate: The value of (g∘f)(3) from the given table.

Expert Solution

The value of (gf)(3)=1 .

### Explanation of Solution

The composition function (gf)(3) is defined as g(f(3)) .

Evaluate the value of f(3) from the table.

Thus, g(f(3))=g(4) .

Evaluate the value of g(4) from the table.

Therefore, the value of (gf)(3)=1 .

(f)

To determine

### To evaluate: The value of (f∘g)(6) from the given table.

Expert Solution

The value of (fg)(6)=4 .

### Explanation of Solution

The composition function (fg)(6) is defined as f(g(6)) .

Evaluate the value of g(6) from the table.

Thus, f(g(6))=f(3) .

Evaluate the value of f(3) from the table.

Therefore, the value of (fg)(6)=4 .

### Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!