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seropon [69]
3 years ago
9

Find the inverse function for f(x)=sqrt2x-6 picture below

Mathematics
1 answer:
Olenka [21]3 years ago
6 0

Answer:

y = (x^2 + 6) / 2

Step-by-step explanation:

Original function: \sqrt{2x - 6}

To find the inverse of a function we have to switch the x and y values and solve for y again

x = sqrt (2y-6)

To get rid of a square root we square the square root so:

x^2 = 2y-6

Add 6

x^2 + 6 = 2y

Divide by 2

y = (x^2 + 6) / 2

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Will award Brainlyest!!! Choose the equation that represents a line that passes through points (−3, 2) and (2, 1).
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Answer:2. Rate of change, or slope, is the change in y over change in x. Remember that a point is given in (x, y). Also that you need two points to find the change.

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The "initial value" is the y-intercept - where the graph intersects the y-axis and also where x = 0. The given point (0, -1) has x = 0, so the initial value is -1.

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The x-axis of the graph would be number of weeks, since it is independent.

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Since she starts (at 0 weeks) at $25, the first point would be (0, 25). Notice here that it is the y-intercept since x = 0. The value of b in the model equation of a line y = mx + b would be 25.

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Putting b = 25 and m = 5 into the model equation y = mx + b (remember we use this equation because it works for all lines), the equation would be

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4.

The slope of this will be -0.5degrees/hr, or just -0.5 if it is used as m in the 

y = mx+b equation. The slope is negative because it "decreases".

5. 

Plot each point and connect the dots. Remember the first number corresponds to the x-axis and the second to the y-axis.

For example in the table for x = -2 and y = -6, the point is (-2, -6), and from the origin (0,0) you go left 2 on the x-axis and down 6 to plot the point.

9.

I think you can do this if you can do #3, but now you have to find b by plugging in given values.

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