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Chapter 5: Q. 96 (page 285)

Suppose that F(x)=(13)x-3.

(a) What is F(-5)? What point is on the graph ofF ?

(b) If F(x)=24, what is x? What point is on the graph of F ?

(c) Find the zero of F.

Short Answer

Expert verified

Part (a) F(-5)=240 and the point on the graph of F is (-5,240).

Part (b) x=-3 and the point on the graph of F is (-3,24).

Part (c) The zero of F isx=-1.

Step by step solution

01

Part (a) Step 1. Substitute x=-5 in F(x)=(13)x-3.

This gives

F(-5)=(13)-5-3=35-3=243-3=240

The point on the graph of the function F is(-5,240).

02

Part (b) Step 2. Finding x using F(x)=24. 

We have

F(x)=24(13)x-3=24(13)x=24+33-x=273-x=33

On comparing,

x=-3

The point on the graph of the function F is(-3,24).

03

Part (c) Step 1. Substitute F(x)=0

This gives

(13)x-3=0(13)x=33-x=31

On comparing,

x=-1

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