00:01
Hi there, we are given a function and we need to just make this function continuous everywhere.
00:09
So x is equal 3 is the critical point here.
00:12
So if we just take a look at the limit value when you're approaching from right.
00:18
So we have to use x square plus a square times x 9a.
00:24
And if the function is continuous at every x.
00:28
So that means the left right limit should be equal to when x goes to three from left which is 12 and so and that is also equal to f of 3 so if i just plug in 3 for x we got 3a squared plus 9a that should be equal to 12 and f of 3 which is also 12 um so from here we don't need this part here so we need to just um find the value of a for the this quadratic function.
01:01
If i just take 12 to the left -hand side, we got 3a squared plus 9a minus 12, which is 0.
01:07
So take 3 parentheses.
01:12
If we just factorize this expression, we got a plus 4, a minus 1, n times 3, which is 0...