Question

use the given functions f and g

 

Answer 1

Step 1 :

The functions are and .

(a )

The solution is .

Step 2 :

(b )

The solution is .

Step 3 :

(e )

The solution is .

Step 4 :

(f )

Rewrite the inequality.

This product can be greater than zero (positive) if both factors are positive or both factors are negative.

Step 5 :

Case 1 : 

Both factors are positive.

The only condition that makes both true at .

Case 2 : 

Both factors are negative.

The only condition that makes both true at .

The solution is .

Solution :

(a ) The solution is .

(b ) The solution is .

(e ) The solution is .

(f ) The solution is .