00:01
The table gives some input output pass for the functions f and g and we answered these three questions.
00:08
In part a, we have to determine the composition of the function g of f of 1.
00:13
So first we have to determine this f of 1.
00:16
So this basically is the value of the function f when the input to the function f is 1.
00:23
So here we can consider this values for x as the input to the functions f and g.
00:31
This basically gives the outputs.
00:35
So these two columns, f and g, gives the outputs.
00:39
Now, the input to the function f is 1.
00:43
So we have to consider this input.
00:46
When x equal to 1, f of 1 is the output is 2.
00:49
So, f of 1 equals 2.
00:52
And this means this will now become g of 2.
00:56
And now we have to determine g of 2.
00:59
So it's otherwise asking the question when the input to the function g is 2, what is the output? so let's look at the input column.
01:08
So here the input is 2 and the corresponding output is negative 2 for the function g.
01:16
So g of 2 equals negative 2 and thus we obtain the answer for part a is negative 2...