# To evaluate f ( x ) = x 2 − 6 at a number, we substitute the number for x in the definition of f ( x ) .

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 2.1, Problem 17E
To determine

## To evaluate f(x)=x2−6 at a number, we substitute the number for x in the definition of f(x) .

Expert Solution

The given function of the values f(3)=3,f(3)=3,f(0)=6,f(12)=234,f(10)=94

### Explanation of Solution

Given information: consider the function f(x)=x26

Calculation:

Evaluate the values of the function f(x)=x26 for the given values of the variable x

Plug the value x=3, in the function f(x)=x26 then we get the value of f(3).

f(3)=(3)26f(3)=96f(3)=3 Put x=3

Plug the value x=3, in the function f(x)=x26 then we get the value of f(3).

f( 3 )= ( 3 ) 2 6 f( 3 )=96 f( 3 )=3

Put x=3

Plug the value x=0, in the function f(x)=x26 then we get the value of f(0).

f(0)=(0)26f(0)=06f(0)=6

Put x=0

Plug the value x=12, in the function f(x)=x26 then we get the value of f(12).

f( 1 2 )= ( 1 2 ) 2 6 f( 1 2 )= 1 4 6 f( 1 2 )= 23 4

Put x=12

Plug the value x=10, in the function f(x)=x26 then we get the value of f(10).

f(10)=(10)26f(10)=1006f(10)=94

Put x=10