To steps to find an inverse function are to first replace all the F(X) with a Y. Then you switch the X's and Y's, then you solve for Y. You can verify that it's an inverse function because if you multiply the functions by each other, the answer will be 0.
To factor X^3 + 3x^2 -54x, you first divide everything by X. Then you have X(x^2 +3x-54). Then you have to find multiples of 54 that add to 3. 6 and 9 work perfectly. To make a negative 54, you have to make number positive and one negative, but they still need to add up to three. Negative six and nine work. That makes the equation X(X-6)(X+9). If you foil that out, you'd get the first quadratic equation.
There are three ways to solve systems of equations. The first method is to use desmos. To solve with desmos you plug in the equations and it shows where they cross. The second way is substitution. Solving with substitution is where you solve one of the equations for one of the variables, and then plugging that back into the other equation. Then you go back and solve for the other variable .
To find an equation of a line, you take some points, and find the slope. Let's just say the points are (1,2) and (3,4). To find the slope, the equation is M= y2-y1 divided by x2-x1. Then you plug in your numbers. M= 4-2 divided by 3-1. Simplify, and you got 2 over 2, which equals 1. The slope of this line is 1. To put the line into slope intercept form, you must first put it into point-slope form. Point slope form is y- y1=m(x-x1). So if you plug in your numbers, you get y-2=1(x-1). Then you distribute and get y-2=1x-1. Add 2 to both sides and get y=1x+1.
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