Question

if f:{-1,1}={0,2} defined by f(x)=ax+b into function, then find the value of a and b
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Answer 1

Answer:

We have

f(x)=ax+b

Case-I

f(−1)=2                   b−a=2

f(1)=2                     b+a=2

So,

a=b=1

Case-II

f(−1)=2                    b−a=2

f(1)=0                     b+a=0

So

(−1,1)

Then

a=−1 and  b=1

Which is the required answer.

Answer 2

Answer:

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