00:01
Now we are going to find the missing values in the table.
00:03
Now the given information is f is a linear function so we can write f of x is equal to mx plus c.
00:11
Now from the given table we have two points 0 ,10 and 4 ,100.
00:17
So from these two points we find the slope m should be equal to 100 -10 divided by 4 -0 and this will be equal to 90 divided by 4 that is 45 divided by 2.
00:32
Then we can write f of x is equal to 45 divided by 2 x plus c and next we have to find the value of c.
00:41
For that i am going to put x, f of x is equal to 0 ,10 in the above equation then we get 10 is equal to 45 divided by 2 into 0 plus c.
00:57
From this we get the value of c is 10.
01:00
So our function f of x is in the form of 45 divided by 2 x plus 10.
01:07
So now we have to find the value of f of x when x is equal to 1 that is f of 1 and this should be equal to 45 divided by 2 into 1 plus 10 and this will be equal to 32 .5.
01:25
And next we have to find the value of f of x when x is equal to 2 that is f of 2 and this will be equal to 45 divided by 2 multiplied by 2 plus 10 and this will be equal to 55 and then we have to find the value of f of 3 and this should be equal to 45 divided by 2 multiplied by 3 plus 10 and this will be equal to 77 .5.
01:54
And the next given information is g of x is an exponential function.
01:58
So g of x is of the form a into b power x...