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2 years ago

Identify the inverse of f(x)=x^2-9

Mathematics

1 answer:

Reika [66]2 years ago

7 0

A
x=y^2-9
x+9=y^2
square root both sides
+-sqrt(x+9)

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Write the equation of the line with x-intercept -2 and y-intercept -1 in slope-intercept form

eduard

The x-intercept of -2 gives us an idea that point (-2,0) if found along the line. The y-intercept of -1, tells us that point (0,-1), this also tells us that b = -1.

Now that we have two points, we can solve for slope m

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \text{Given two points} \\ (-2,0)\rightarrow(x_1,y_1) \\ (0,-1)\rightarrow(x_2,y_2) \\ \\ \text{Substitute} \\ m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-1-0}{0-(-2)} \\ m=-\frac{1}{2} \end{gathered}$

Now that we have both m and b. Substitute these values to the slope intercept form

$\begin{gathered} \text{Slope intercept form is} \\ y=mx+b \\ \text{where} \\ m\text{ is the slope} \\ b\text{ is the y-intercept} \\ \\ \text{Substitute the values from before and we get} \\ y=-\frac{1}{2}x-1 \end{gathered}$

5 0

1 year ago

In triangle ABC, what is m angle C

Degger [83]

Answer:

83.5 degrees

Step-by-step explanation:

first, find x:

x+5x-13+4x=180

10x=193

x=19.3

Then, substitute that value for c:

5*19.3-13

=83.5 degrees

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2 years ago

Simplify the square root of 96

Tamiku [17]

$\sqrt{96} = \sqrt{16 \times 6} = \sqrt{16} \times \sqrt{6} = 4 \sqrt{6}$

Hope that helped :)

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3 years ago

How is the graph of the parent function y = StartFraction 1 Over x EndFraction transformed to create the graph of y = negative S

faltersainse [42]

Answer:

The answer is c horizontally compressed by a factor of 3 and reflected over the x-axis.

Step-by-step explanation:

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3 years ago

Read 2 more answers

Can you guys please help!

yuradex [85]

Answer:

5 for the first and 4x for the second one also plz give heart

Step-by-step explanation:

i just know

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3 years ago