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(a) Let y=f(x). Then y = (2x+1)/(x-1). Rearrange the equation to get x in terms of y to obtain the inverse function. This gives x=(1+y)/(y-2). So the inverse of f is f-1(x)=(1+x)/(x-2)<...
2x + y = 3 therefore y = 3 - 2x
Substitute y = 3 - 2x in to the first equation:
3x + 2(3 - 2x) = 4
3x + 6 - 4x = 4
-x = -2 therefore x = 2
Substitute x = 2 in to ei...
To complete the square for the equation ax² + bx + c = 0 there are three steps.. 1. In order to complete the square, we need to take the first two parts of the quadtratic equation, and put them in the for...
Firstly, you need to get rid of any brackets. You do this by expanding them. This becomes 2x + 8 + 6x - 6 = 14.
The next step is to get all the x's on one side, and all the numbers on the other. Yo...
In this problem, we see that y is a product of 3 functions of x. That means that in order to find dy/dx we need to use the product rule. The product rule tells us that in this case we should differentiate...
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