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Chapter 14: Q3. (page 574)

If fx=x2+1, find f3 and f-3. Is f a one-to-one function?

Short Answer

Expert verified

The value of f3and f-3 is 10 and the function f isnot a one to one function.

Step by step solution

01

Step 1. Given Information.

Consider the given function fx=x2+1.

02

Step 2. Calculation.

Substitute 3 for x in the function.

f3=32+1=10

Substitute -3 for x in the function.

f鈭�3=鈭�32+1=10

So, the value of f3and f-3is 10.

From the above, it is clear that the function f has same image value for f3 and f-3.

03

Step 3. Conclusion.

Therefore, the function f is not a one-to-one.

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