To evaluate f ( x ) = x + 4 at a number, substitute the number for x in the definition of f ( x ) The given function of the values f ( x 2 ) = x 2 + 4 , ( f ( x ) ) 2 = x 2 + 8 x + 16 Given information: consider the function f ( x ) = x + 4 Calculation: Start by assume x is the variable of a function f ( x ) . Evaluate the values of the function f ( x ) = x + 4 for the given values of the variable x Plug the value x = x 2 , in the function f ( x ) = x + 4 then the value of f ( x 2 ) . f ( x 2 ) = x 2 + 4 Since square the function f ( x ) ( f ( x ) ) 2 = ( x + 4 ) 2 ⇒ ( f ( x ) ) 2 = x 2 + 8 x + 16 Thus, f ( x 2 ) = x 2 + 4 , ( f ( x ) ) 2 = x 2 + 8 x + 16

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 33E
Solution

To evaluate f(x)=x+4 at a number, substitute the number for x in the definition of f(x)

The given function of the values

  f(x2)=x2+4,(f(x))2=x2+8x+16

Given information:consider the function f(x)=x+4

Calculation:

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

Evaluate the values of the function f(x)=x+4 for the given values of the variable x

Plug the value x=x2, in the function f(x)=x+4 then the value of f(x2).

  f(x2)=x2+4

Since square the function f(x)

  (f(x))2=(x+4)2(f(x))2=x2+8x+16

Thus, f(x2)=x2+4,(f(x))2=x2+8x+16

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