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maxonik [38]
3 years ago
11

Let f(x)=3x-6 and g(x)=x-2 find f(g(5))-ie. (f • g)(5) and its domain

Mathematics
1 answer:
Molodets [167]3 years ago
3 0

Solution for f(g(5)):


The notation f(g(5)) or (f • g)(5) means that we first plug 5 into the function g(x), simplify, then plug the answer that we got to f(x). We will do this step-by-step:


Step 1: Plugging 5 to g(x)

g(5)=5-2=3


Step 2: Plugging the answer to f(x)

f(3)=3(3)-6=9-6=3


ANSWER: f(g(5)) is equal to 3.


Domain:


For the function f(g(x)), we can find the domain by analyzing the domains of each individual functions separately and excluding certain values depending on the restrictions from the outermost function.


However, since both functions have all real numbers as its domain, we will not need to do any exclusion anymore.


ANSWER: The domain of the function is all real numbers.

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The circumference of the inner circle is 44 ft. The distance between the inner circle and the outer circle is 3 ft. By how many
Citrus2011 [14]

Answer: 18.86 feet

Step-by-step explanation:

The formula for determining the circumference of a circle is expressed as

Circumference = πD

Where D represents the diameter of the circle.

The circumference of the inner circle is 44 ft. It means that

22/7 × D = 44

22D = 7 × 44 = 308

D = 308/22

D = 14 ft

The distance between the inner circle and the outer circle is 3 ft. This means that the diameter of the outer circle would be

14 + 3 + 3 = 20 ft

Circumference of the outer circle is

22/7 × 20 = 62.86 ft

The number of feet by which the circumference of outer circle is greater than the circumference of the inner circle is

62.86 - 44 = 18.86 feet

5 0
3 years ago
∠C and ​ ∠D ​ are vertical angles with m∠C=−x+26 and m∠D=2x−10 . What is m∠D ? Enter your answer in the box.
Musya8 [376]
-x+26=2x-10
+x +10  +x +10
36+3x
divde by 3
12=x

m∠D=2(12)-10
        =24-10
        =14
8 0
3 years ago
Read 2 more answers
What is the following expression mulituply out (5x-6y)(5x-6y)
Anna007 [38]

Answer:

25x^2 - 60xy + 36y^2

Step-by-step explanation:

(5x - 6y) ( 5x - 6y)

Use foil to get the result when this is expanded.

F: (first term in each factor): 5x*5x = 25x^2

I:  Use the last term first factor multiplied by first term second factor

- 6y * 5x = - 30xy

O:Outside. Use first term first factor and last term second factor

5x * -6y = - 30xy

L: last term in both factors -6y * - 6y = 36y^2

All them together

25x^2 - 30xy - 30xy + 36y^2

and combine

25x^2 - 60xy + 36y^2

8 0
2 years ago
Is the given value a solution to the equation? 4(n) - 3 = -2(n) + 9 n=2
nlexa [21]

Answer:

Yes!

The solution to the equation is n = 2

Step-by-step explanation:

Given the equation

4\left(n\right)-3=-2\left(n\right)+9

remove the parentheses

4n-3=-2n+9

Add 3 to both sides

4n-3+3=-2n+9+3

Simplify

4n=-2n+12

Add 2n to both sides

4n+2n=-2n+12+2n

Simplify

6n=12

Divide both sides by 6

\frac{6n}{6}=\frac{12}{6}

Simplify

n=2

Therefore, the value of n = 2.

Hence,

Yes!

The solution to the equation is n = 2

5 0
3 years ago
A linen shop sells sheets and pillow cases .Linen from easiest company offer a choice in each set of sheets and pillow cassia pl
mariarad [96]

Answer:

polkadot's strips

plain stripes

polkadot's plain

Step-by-step explanation:

3

8 0
2 years ago
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