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babymother [125]
2 years ago
9

Please I’m giving away Brainly ASAP

Mathematics
1 answer:
AnnyKZ [126]2 years ago
7 0

Answer:

g and f are inverse functions because g(f(x)) = f(g(x)) = x

Step-by-step explanation:

Let's start by finding f(g(x)) and g(f(x)). As we discussed in another question, to find a composite function, apply the outer function to whatever the inner function evaluates to. We can start with f(g(x)):

f(g(x))=f(\frac{x+6}{7})=7(\frac{x+6}{7} )-6=x+6-6=x

Now, let's find g(f(x)):

g(f(x))=g(7x-6)=\frac{(7x-6)+6}{7} =\frac{7x}{7}=x

There is a property that says that if f(g(x)) = g(f(x)) = x, the two functions are inverse. This suggests that g and f are inverse functions. We can verify this by taking one function, switching y and x, and then solving for y. If we complete this process and find that we get the OTHER function, it means the two functions are inverse. Let's try that:

f(x)=y=7x-6

Swap x and y:

x=7y-6

Solve for y:

x+6=7y\\y=\frac{x+6}{7}

Notice that we got g, which means f and g are inverse.

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lions [1.4K]
The correct answer is 12. Hope this helps.
8 0
3 years ago
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Elanso [62]

Answer: 10.5 is my guess

Step-by-step explanation:

1. 30% = 8.4

   100      x

cross multiply

30(x) = 840

divide both sides by 30 = 28

2. 37.5% = y

     100     28

cross multiply

1050 = 100y

divide both sides by 100 = 10.5

5 0
3 years ago
HELP PLEASE
kolezko [41]

Answer: 16 feet is the width and 25 is length

Step-by-step explanation:

x*(2x-7)=400

Word problem written in numerical form^^^^

Solve for x to get 16

length = 2(16)-7= 25

Check our work

16*25=400 yay

6 0
3 years ago
Instructions
S_A_V [24]

The theoretical probability of getting two tails on two coin tosses is 0.25.

<h3>How to calculate the probability?</h3>

The theoretical probability is the ratio of the number of favorable outcomes to the number of possible outcomes. Given a coin is tossed twice.

We have to find the theoretical probability of tossing two tails. The probability of getting tails on the toss of a coin is 1/2 0r 0.5.

Therefore, the probability of getting two tails on two coin tosses is 0.5 × 0.5 or 0.25.

The theoretical probability that a coin toss results in two heads showing is 0.25.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

7 0
2 years ago
What are the factors of nine
Furkat [3]

Answer:

Step-by-step explanation:

Factors of 9: 1, 3 and 9.

Negative Factors of 9: -1, -3 and -9.

Prime Factors of 9: 3.

Prime Factorization of 9: 3 × 3 = 32

Sum of Factors of 9: 13.

3 0
3 years ago
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