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melomori [17]
2 years ago
5

What is the domain of g/f if

Mathematics
1 answer:
schepotkina [342]2 years ago
5 0

The domain of g(f(x)) is all the real numbers.

  • f(x) = x-5
  • g(x) = x²
  • In mathematics, function composition is an operation that takes two functions, f and g, and creates a function, h = g(f(x)), such that h(x) = g. The function g is applied in this operation on the outcome of applying the function f to x.
  • g(f(x)) = g(x-5)
  • g(f(x)) = (x-5)²
  • The collection of potential inputs into a function, or the set of input values for which the function is defined, is known as the domain of the function.
  • To find the domain, we find the values for which the function is defined in real values.
  • g(f(x)) is defined when (x-5)² is defined.
  • (x-5)² is defined for all the real numbers.

To learn more about domain, visit :

brainly.com/question/28135761

#SPJ9

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State the property used to go from step one to step two
Liono4ka [1.6K]

Answer: Distributive Property

Step-by-step explanation: The distributive property tells us that when there is a number outside a set of parentheses, you can multiply it times each of the terms that are inside the set of parentheses and then add those products together.

3 0
3 years ago
How many different 4 color code stripes can be made on a sports car if each code consists of the colors green, red, blue, and wh
Akimi4 [234]
From the list of colors: green, red, blue, and white, there are four colors. The concept that should be used in order to determine the number of 4-color code stripes that can be drawn in the sports car is the concept of BASIC PRINCIPLE OF COUNTING.

The equations that would best help us in answering the question is,
                         n = 4! (that is, four factorial)
For the first pick, there are four choices. When one is already used then, there are only 3 choices for the second color, and so on until the last color. 
                         n = 4 x 3 x 2 x 1 = 24
Thus, there are 24 types of 4-color codes. 
5 0
3 years ago
Hellllllllllp! Someone help
uysha [10]

Answer:

4. (2, 3)

5. (0, 1)

7. (-1, 2)

Step-by-step explanation:

I hope this helps! Have a nice dayy! :)

3 0
3 years ago
Read 2 more answers
Help please<br><br>What is 2/3÷1/2​
Luba_88 [7]

Answer: B

Step-by-step explanation:

2/3 x 2/1 =4/3

3 0
3 years ago
What is the inverse of f(x)=(-2x+2)/(x+7)?
Nana76 [90]

By applying the concept of the inverse of a function and <em>algebraic</em> handling, we conclude that the inverse of f(x) = (- 2 · x + 2)/(x + 7) is g(x) = (- 7 · x + 2)/(x + 2).

<h3>How to find the inverse of a function</h3>

In this question we have a <em>rational</em> function f(x) and finding its inverse consists in clearing x in terms of f(x). Prior any algebraic handling, we need to apply the following substitutions:

x \to y

f(x) \to x

x = \frac{-2\cdot y + 2}{y+7}

x · (y + 7) = - 2 · y + 2

x · y + 7 · x = - 2 · y + 2

2 · y + x · y = - 7 · x + 2

y · (2 + x) = - 7 · x + 2

g(x) = \frac{- 7\cdot x + 2}{x + 2}

By applying the concept of the inverse of a function and <em>algebraic</em> handling, we conclude that the inverse of f(x) = (- 2 · x + 2)/(x + 7) is g(x) = (- 7 · x + 2)/(x + 2).

To learn more on inverses: brainly.com/question/7181576

#SPJ1

4 0
2 years ago
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