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3 years ago

Solve 1. 9x = 36 x = 2. x/4 - 3 = 6 =

Mathematics

1 answer:

sdas [7]3 years ago

7 0

Answer:

1.x=4

Step-by-step explanation:

because 9*4 is 36 and 36/9 is 4

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Determine the domain and range of (g ○ f)(x) if f of x is equal to 4 over the quantity x squared minus 4 end quantity and g(x) =

lara [203]

The domain and range of a function are the possible x and y values of the function.

The domain and the range of the function is: (a) $\mathbf{D:\{x \in R|x \ne -2,2\}}$ and $\mathbf{R:\{(-\infty,1) \cup (2,\infty)\}}$

The functions are given as:

$\mathbf{f(x) = \frac{4}{x^2 - 4}}$

$\mathbf{g(x) = x + 2}$

(g o f)(x) is calculated as:

$\mathbf{(g\ o\ f)(x) = g(f(x))}$

So, we have:

$\mathbf{(g\ o\ f)(x) = \frac{4}{x^2 - 4} + 2}$

Take LCM

$\mathbf{(g\ o\ f)(x) = \frac{4 + 2x^2 - 8}{x^2 - 4} }$

$\mathbf{(g\ o\ f)(x) = \frac{2x^2 - 4}{x^2 - 4} }$

Represent the denominator as follows, to calculate the domain

$\mathbf{x^2 - 4 \ne 0 }$

Add 4 to both sides

$\mathbf{x^2 \ne 4 }$

Take square roots of bot sides

$\mathbf{x \ne \±2 }$

Hence, the domain of the function is:

$\mathbf{D:\{x \in R|x \ne -2,2\}}$

On the graph of $\mathbf{(g\ o\ f)(x) = \frac{2x^2 - 4}{x^2 - 4} }$ (see attachment), the function does not have a value from y = 1 to 2.

Hence, the range is:

$\mathbf{R:\{(-\infty,1) \cup (2,\infty)\}}$

Read more about domain and range at:

brainly.com/question/1632425

5 0

2 years ago

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the following graph shows the number of soccer games a team won in each of their three seasons. Explain how you could redraw the

OlgaM077 [116]

Answer:

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Step-by-step explanation:

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3 years ago

1.Alan is x years old .Tom is 5 years older than Alan. Write an expression for the total of their ages.

N76 [4]

Answer:

1. 2x + 5

2. 35 students walked

3. 1:18

Step-by-step explanation:

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3 years ago

alice drew two triangles on the coordinate plane as shown. Which series of transformation proves the two triangles are congruent

Nimfa-mama [501]

Answer:

idk i just really neeed the points

Step-by-step explanation:

alice drew two triangles on the coordinate plane as shown. Which series of transformation proves the two triangles are congruent?

8 0

4 years ago

Please can someone work this out please it would reallly help

Delicious77 [7]

Answer:

12.25 $\leq$ x < 12.35

Step-by-step explanation:

5 is the cut off when rounding.

If a number to the right is greater than or equal 5, you round up.

If it's less than 5, you drop the number.

So 12.25 would be rounded up to 12.3

12.34 would be rounded to 12.3

How do you get the 12.25?

Subtract .05 from 12.3

How do you get 12.35?

Add .05 to 12.3.

The number in the hundredths place needs to be less than 5 to round down. That's why you use less than symbol.

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3 years ago