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Igoryamba
2 years ago
8

Let f(x) =2x and g(x)= x - 2 the graph of (f.g )(x) is shown below

Mathematics
1 answer:
Vika [28.1K]2 years ago
6 0

Answer:

The domain of the graph is all real number ⇒ the last answer

Step-by-step explanation:

* Remember that our original exponential formula was y = ab^x

- The b value is the growth factor

* Lets revise how to find the domain of this function

- The domain is all values of x that make the function defined

* Lets revise the composite function

- A composite function is a function that depends on another function.

- A composite function is created when one function is substituted

 into another function.

- For example, f(g(x)) is the composite function that is formed when

 g(x) is substituted for x in f(x).

∵ f(x) = 2^x

∵ g(x) = x - 2

∴ (f · g)(x) = f(x - 2)

∵ f(x) = 2^x

∴ (f · g)(x) = f(x - 2) = 2^(x - 2)

- For this function there is no values of x make the function undefined

∴ The Domain is all real numbers

- Look to the graph, the values of x go from -∞ to ∞

* The domain of the graph is all real number

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The length of a rectangle is five times it’s width if the area of the rectangle is 320m^2 find its perimeter
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Answer:

Perimeter of the rectangle = 96 meters.

Step-by-step explanation:

Let the width of the rectangle = K

So, the length of the rectangle = 5K

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Now, Area of a Rectangle  = Length x Width

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or,5K^{2} = 320\\or, K^{2}  = \frac{320}{5}   = 64

So, the vlue of K = 8 or, K = -8

But as K represents a length hence, K ≠ -8

So, the <u>width of the rectangle = 8 meters</u>

and the<u> length  of the rectangle = 8 x 5 = 40 meters</u>

Now, Perimeter = 2(length + width)

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So, the perimeter of the rectangle = 96 meters.

6 0
2 years ago
ETHANHUNT HELP HERE WOULD BE APPRECIATED
labwork [276]
We know, Length of Image = Length of Object * Dilation factor, 

Just substitute your known values, 
Length of Image = 9 * 2 = 18

In short, Your Answer would be 18 cm

Hope this helps!
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What is the perimeter of a regular nonagon with a side length of 21
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