Question

V यदि / (x) = x2 + 2x + 2, तो x का मान ज्ञात कीजिए जब
f(x + 1) =f(x).​

Answer 1

Answer :

x = -3/2

Solution :

• Given : f(x) = x² + 2x + 2
• To find : If f(x + 1) = f(x) , then x = ?

We have ,

f(x) = x² + 2x + 2

Thus ,

=> f(x + 1) = (x + 1)² + 2(x + 1) + 2

=> f(x + 1) = x² + 2x + 1 + 2x + 2 + 2

=> f(x + 1) = x² + 4x + 5

Also ,

It is given that , f(x + 1) = f(x) .

Thus ,

=> x² + 4x + 5 = x² + 2x + 2

=> 4x + 5 = 2x + 2

=> 4x - 2x = 2 - 5

=> 2x = -3

=> x = -3/2

Hence x = -3/2 .