To evaluate f ( x ) = 6 x − 18 at a number, substitute the number for x in the definition of f ( x ) The given function of the values f ( x 3 ) = 2 x − 18 , f ( x ) 3 = 2 x − 6 Given information: consider the function f ( x ) = 6 x − 18 Calculation: Start by assume x is the variable of a function f ( x ) . Evaluate the values of the function f ( x ) = 6 x − 18 for the given values of the variable x Plug the value x = x 3 , in the function f ( x ) = 6 x − 18 then the value of f ( x 3 ) . f ( x 3 ) = 6 ( x 3 ) − 18 ⇒ f ( x 3 ) = 2 x − 18 f ( x ) 3 = 6 x − 18 3 Since f ( x ) = 6 x − 18 f ( x ) 3 = 2 x − 6 Thus, f ( x 3 ) = 2 x − 18 , f ( x ) 3 = 2 x − 6

BuyFind

Precalculus: Mathematics for Calcu...

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

Precalculus: Mathematics for Calcu...

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

Solutions

Chapter 2.1, Problem 34E
Solution

To evaluate f(x)=6x18 at a number, substitute the number for x in the definition of f(x)

The given function of the values f(x3)=2x18,f(x)3=2x6

Given information:consider the function f(x)=6x18

Calculation:

Start by assume x is the variable of a function f(x) .

Evaluate the values of the function f(x)=6x18 for the given values of the variable x

Plug the value x=x3, in the function f(x)=6x18 then the value of f(x3).

  f(x3)=6(x3)18f(x3)=2x18

  f(x)3=6x183        Since f(x)=6x18f(x)3=2x6

Thus, f(x3)=2x18,f(x)3=2x6

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