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3 years ago

Need some help with this one.

Mathematics

1 answer:

Verizon [17]3 years ago

4 0

Answer:

x² + 4x + 3

Step-by-step explanation:

to find f(g(x)), substitute x = g(x) into f(x)

f(g(x)) = f(x + 2) = (x + 2)² - 1 = x² + 4x + 4 - 1 = x² + 4x + 3

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4 years ago

What is the midpoint of AB?

Citrus2011 [14]

Answer:

$(-4, -\frac{1}{2})$

Step-by-step explanation:

Hi there!

We are given the line segment, with the end points AB

The coordinates of A are (-5, -4), and the coordinates of B are (-3, 3).

We want to find the midpoint of the line segment AB

The midpoint formula is given as $(\frac{x_1+ x_2}{2}, \frac{y_1 + y_2}{2})$ , where $(x_1, y_1)$ and $(x_2, y_2)$ are coordinates

We have two coordinates, which is what we need, but let's label their values to avoid any confusion:

$x_1=-5\\y_1=-4\\x_2=-3\\y_2=3$

Now substitute those values into the formula:

$(\frac{x_1+ x_2}{2}, \frac{y_1 + y_2}{2})$

$(\frac{-5+ -3}{2}, \frac{-4+ 3}{2})$

Now simplify the numerator and denominator

$(\frac{-8}{2}, \frac{-1}{2})$

Simplify again:

The midpoint is (-4, $-\frac{1}{2}$ )

Hope this helps!

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3 years ago