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leonid [27]
3 years ago
12

The composition of a function and its inverse is always the answer is 'x'

Mathematics
2 answers:
Natali [406]3 years ago
7 0
This is a true statement. An inverse function for a function f is an function such that it undoes the results of f.
Dennis_Churaev [7]3 years ago
5 0

Answer:

The given statement is true.

Step-by-step explanation:

An inverse function can be defined as  a function that "reverses" another function: if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x, and vice versa, i.e., f(x) = y if and only if g(y) = x.

Examples are x+2 and x-2

WE get f(x) = x+2

Apply g(x) = g(f(x))=g(x+2)

=x+2-2=x

Thus by applying composiiton g f or fg in any order we get the answer as x

THis is the property of any inverse function

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From $2003$ onward, the number of daily visitors to a website increased by $200\%$ every two years. So, for example, the number
andrew-mc [135]

Answer:

2007

Step-by-step explanation:

If the number of visitors was, say, 100 people in 2003, then in 2005 that number would have gone up to 300 people, which is a 200% increase. And that number would have gone up to 900 people in 2007, which is an 800% increase.

5 0
3 years ago
Amy is 9 years older than her brother john. their combined age is 23. write an expression to represent johns age (use x)
dedylja [7]
Let x the age of John
Amy's age = x + 9
from question, we get,
John's age + Amy's age = 23
x+(x+9)= 23
=> x + x + 9 = 23
=> 2x = 23 - 9
=> x = 14/2
=> x = 7
8 0
3 years ago
Daniel wanted to know his approximate score on the final exam for his mathematics class. His professor hinted that his score was
frozen [14]

Answer: 101.69

Step-by-step explanation:

Formula we use to find the z-score :-

z=\dfrac{x-\mu}{\sigma}    (1)

Given : \mu=90

\sigma=7

Daniel's z score : z= 1.67

Let x be the raw score for Daniel's exam grade, then substitute the values of \mu,\ \sigma\ and \ x in (1), we get

1.67=\dfrac{x-90}{7}\\\\\Rightarrow\ x-90=7\times1.67\\\\\Rightarrow\ x=11.69+90=101.69

Hence, the raw score for Daniel's exam grade = 101.69

3 0
3 years ago
I WILL GIVE BRAINLIEST
sammy [17]

Answer:

Tell whether the following equations represent a linear function.

<em><u>10x + 2y = 4--linear </u></em><em><u>equation✓</u></em>

−x² + 3y = 19--quadratic equation

<em><u>6x + 1/2y = 3--linear </u></em><em><u>equation✓</u></em>

3 0
3 years ago
Evaluate:<br> 4 + -2 + -7
krok68 [10]

Answer:

-5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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