00:01
So in the given question we are having value of f of x, value of f of x and value of f of x is given as 5x plus 1 and gx is simply given as x squared minus 4.
00:19
Now in first part we need to find f plus g of x that is simply defined as addition of fx and if we put these values, we get 5x plus 1 plus x squared minus 4.
00:39
So this value is nothing but x square plus 5x minus 3.
00:47
Now in order to find the value of f minus g of x, we need to subtract g x from the fx and we need to put value of fx that is 5x plus 1.
01:02
And minus g x would be minus x square plus four.
01:06
So this value would be simply minus x square plus 5x plus 5.
01:14
Now, in order to find value of f .g of x, that would be simply multiplication of the fx and gx, that would be simply 5x plus 1 into x square minus 4, x square minus 4.
01:34
Now in order to find value of f upon g of x, we need to divide g x.
01:46
We need to divide f x by g x.
01:48
That is value of f x is 5x plus 1 and g x is x squared minus 4.
01:57
Now we need to find the domain of this function as well.
02:01
So domain of this function is simply r minus the value.
02:09
Values of denominator cannot be 0 for the rational function...