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3 years ago

Consider the function f(x) = x3 + 7. What is the inverse of f(x)?

Mathematics

1 answer:

Brrunno [24]3 years ago

7 0

Answer:

f(x)=x^3+7

y=x^3+7

x=y^3+7

y^3=x-7

y=cube root (x-7)

f(x) inverse=cube root of x-7

Step-by-step explanation:

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What are the missing coordinates? My teacher said it was (h-m,n), but I’m saying it is (h+m,n). Could anyone help? (16 points)

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The missing coordinates of the parallelogram is (m + h, n).

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Property of parallelogram,

<em>Diagonals of the parallelogram bisect each other.</em>

Solve using mid-point formula:

$$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right )$

Here $x_1=m, y_1=n, x_2=h, y_2=0$

$$=\left( \frac{m+h}{2}, \frac{n+0}{2}\right )$

$$\text{Midpoint} =\left( \frac{m+h}{2}, \frac{n}{2}\right )$

<u>To find the missing coordinate:</u>

Let the missing coordinates by x and y.

Here $x_1=0, y_1=0, x_2=x, y_2=y$

$$\text{Midpoint}=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{x}{2}, \frac{y}{2}\right )$

Now equate the x-coordinate.

$$ \frac{m+h}{2}=\frac{x}{2}$

Multiply by 2 on both sides of the equation, we get

x = m + h

Now equate the y-coordinate.

$$\frac{n}{2} = \frac{y}{2}$

Multiply by 2 on both sides of the equation, we get

y = n

The coordinates are (m+h, n).

Hence the missing coordinates of the parallelogram is (m + h, n).

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3 years ago