00:01
Hello students, here we have to calculate the inverse laptop of the given function.
00:03
So here we have to first of all we need to split the denominator.
00:09
So we will write 5s plus 13 divided by s into s plus 2 the whole square plus 9.
00:27
So here we can write it as a by s plus bs plus 3 divided by s plus 2 the whole square plus 9.
00:44
In order to calculate them coefficients value a b c cross multiply the term we will get 5s plus 13 divided by s into s plus 2 the whole square plus 9 that is equal to a by s plus bs plus c divided by s plus 2 the whole square plus 9.
01:13
So from this we will get 5s plus 13 that is equal to a into s plus 2 the whole square plus 9 plus bs plus c into s.
01:32
So we will get 5s plus 13 as a plus b the into s square plus 4a plus c into s plus 9a 9a plus 4a.
02:07
So from this we can write by equating the coefficients on both side we will get a plus b equal to 0 and 13a equal to 13 and 4a plus c equal to 5.
02:34
So from this we will get a equal to 1 substituting a equal to 1 in the first equation we will get b equal to minus 1 and from the second third equation we will get c equal to 5 minus 4 that is equal to 1...