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Chapter 7: Q. 97 (page 466)

f(x)=4tanx

(a) Solve f(x)=-4. '

(b) For what values of x is f(x)<-4on the interval-蟺2,蟺2.

Short Answer

Expert verified

(a) The solution is x|x=-蟺4+n蟺,nisaninteger.

(b) The solution set is -蟺2,-蟺4.

Step by step solution

01

Step 1. Given Information

f(x)=4tanx

(a) Solve f(x)=-4. '

(b) For what values of x isf(x)<-4 on the interval-蟺2,蟺2.

02

Part (a) Step 1. The given equation is f(x)=4tanx

Putting f(x)=-4

-4=4tanx

Divide by 4 on both side

-44=44tanx-1=tanxtanx=-1

03

Part (a) Step 2. The solution for f(x)=-4. 

胃=-蟺4

The solution is x|x=-蟺4+n蟺,nisaninteger.

04

Step (b) Part 1. The values of x is f(x)<-4 on the interval -π2,π2.

胃=-蟺2,-蟺4

The solution set is-蟺2,-蟺4

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