Let us assume the larger number = x
Let us assume the smaller number = y
Then
x + y = 3 3/4
x + y = 15/4
And
x/3 = (2y/3) + 1/2
x = [3 * (2y/3)] + (3/2)
= 2y + (3/2)
Now putting the value of x from the second equation to the first , we get
x + y = 15/4
2y + (3/2) + y = 15/4
3y = (15/4) - (3/2)
3y = (15 - 6)/4
3y * 4 = 9
12y = 9
y = 9/12
   = 3/4
Now putting the value of y in the first equation, we get
x + y = 15/4
x + (3/4) = (15/4)
x = (15/4) - (3/4)
   = (15 - 3)/4
   = 12/4
   = 3
So the value of x or the larger number is 3 and the value of y or the smaller number is 3/4.

3 0

3 years ago

Find f(x) and g(x) so the function can be expressed as y = f(g(x)). y= <img src="https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7Bx%5E2%

lisabon 2012 [21]

Answer:

One possible answer is:

f(x) = (2/x) + 3 and g(x) = x².

Step-by-step explanation:

Explanation:

We are to write this equation as y = f(g(x)). This means we want it to be a composite of functions; in f(x), we take the value of g(x) and use in place of x.

If we let g(x) = x², this means everywhere we see an x in f(x), we will replace it with x². To make our equation y = 2/x² + 3, working backward we would substitute x for x²; this would give us f(x) = 2/x + 3.

6 0

3 years ago