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Chapter 3: Q. 34 (page 137)

In parts (a) and (b), use the following figure.

(a) Solve the equation: fx=gx

(b) Solve the inequality:f(x)鈮�g(x)

Short Answer

Expert verified

Part (a) x=2

Part (b) x|x鈮�2

Step by step solution

01

Part (a) Step 1. Given Information. 

The graph is given

There are two graphs f(x),g(x)intersecting at point -4,6.

02

Part (a). Step 2. Explanation. 

The equation f(x)=g(x)represents intersection of graphs.

So, f(x)=g(x) is point 2,5

Here,x=2is the solution off(x)=g(x)

03

Part (b). Step 1. Explanation 

In graph g(x) values ofy are decreasing as respective values of x are increasing. so g(x)is decreasing.

In graph fx values of y are increasing as respective values ofx are increasing . so, f(x)is increasing .

Point of intersection of f(x)and g(x)is 2,5.

So, for x less than equal to 2, the functionf(x)is less than equal to g(x).

The solution isx鈮�2.

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