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Chapter 2: Q. 9 (page 124)

Find the domain of each function.

f(x)=xx2+2x-3

Short Answer

Expert verified

The domain of the functionf(x)=xx2+2x-3is role="math" localid="1645961847696" {x|x鈮�-3,1}.

Step by step solution

01

Step 1. Given information 

We have been given a function f(x)=xx2+2x-3.

We have to find its domain.

02

Step 2. Find the values where the denominator becomes zero 

The given function will not be defined where the denominator becomes zero.

We need to exclude those values of x.

x2+2x-3=0

Factor the trinomial.

x2+2x-3=x2+3x-x-3=x(x+3)-1(x+3)=(x+3)(x-1)

(x+3)(x-1)=0x+3=0orx-1=0x=-3,1

Therefore, the domain will be {x|x鈮�-3,1}.

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