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Chapter 4: Q. 6 (page 234)

Rx=xx-22x-2

  1. Find the domain of R.
  2. Find thex-intercepts ofR.

Short Answer

Expert verified
  1. The domain of Ris,x|x鈮�2.
  2. Thex-intercepts ofRisx=0.

Step by step solution

01

Part a Step 1 Given equation is,

Rx=xx-22x-2

First find the zeros of the denominator.

x-2=0x=2

The domain of Ris the set of all the real numbers except whenx=2.

02

Part b Step 2 Substitute Rx=0 in the given equation.

0=xx-22x-2xx-2=0x=2,0

As2is not in the domain, the value ofx-intercept is0.

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