# Tocalculate : f ( 5 ) , f ( 9 ) , f ( a + 2 ) , f ( − x ) , f ( x 2 ) and [ f ( x ) ] 2 .

### 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, Problem 10RE
To determine

## Tocalculate: f(5), f(9), f(a+2), f(−x), f(x2) and [f(x)]2.

Expert Solution

The answer is f (5) = 1, f (9) = 4 - 21, f (a+2) = 4 - 3a,

f (x) = 4 - (3)(x+2),

f (x2) = 4 - 3(x22) and [f(x)]2=3x+10+83(x2 .

### Explanation of Solution

Given information : The equation of f(x) is given = f(x)=43x6 .

Formula used : To find f (a) put x=a in the equation of f(x).

Calculation :

The equation of f(x)=43x6 .

f(5)=43(5)6f(5)=4156f(5)=49f(5)=43=1

f(9)=43(9)6f(9)=4276f(9)=421

f(a+2)=43(a+2)6f(a+2)=43a+66f(a+2)=43a

f(x)=43(x)6f(x)=4(3x+6)

f(x2)=43(x2)6f(x2)=43x26f(x2)=43(x22)

[f(x)] 2 = (4 3(x)6 ) 2 [f(x)] 2 = (4) 2 + ( 3(x)6 ) 2 +2(4)( 3(x)6 ) [f(x)] 2 =16+(3x6)+8( 3(x2 ) [f(x)] 2 =3x+10+8( 3(x2 )

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