For what values of a and b is the following

Mahagnazk

Mahagnazk

Answered question

2021-11-21

For what values of a and b is the following function continuos at every x? f(x)={1x1axb1 For what values of a and b is the function f continuous at every x?

Answer & Explanation

Novembruuo

Novembruuo

Beginner2021-11-22Added 26 answers

At x=-1 , left hand limit=-1
Right hand limit =a(1)b=ab
The function is continuous so left hand limit = right hand limit
1=ab
Or, a+b=1
At x=1 , left hand limit =a(1)b=ab
Right hand limit= 6
The function is continuous so left hand limit = right hand limit at x=1
ab=6
a+b=1
ab=6
From these two equations we have to find a and b.
If we add those equations then 2a=7 , so a=72
a=72 and a+b=1
So, 72+b=1
Or, b=1(72)
Or, b=52
Answer: a=72 and b=52

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