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storchak [24]
3 years ago
11

Please help! I’m in a test rn! If f(x) and g(x) are inverse functions of each other, which of the following statements is true?

Mathematics
1 answer:
White raven [17]3 years ago
5 0

Answer:

D) (g\cdot f)(x)=x

Step-by-step explanation:

If two functions f(x) and g(x) are inverse of each other, then the following conditions must be true:

i. (f\cdot g)(x)=x

ii. (g\cdot f)(x)=x

Therefore, out of the four choices available, only option D matches the condition for inverse function to exist.

Therefore, (g\cdot f)(x)=x

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Solve for variable y answer in simplest radical form
ASHA 777 [7]

Answer:

option A

Step-by-step explanation:

option A y = 9√3 is the correct answer .

In∆ PQR

cos 30 = y /18

√3/2 = y / 18

y = 9√ 3

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

4 0
3 years ago
Find a fraction in between 21/34 and 34/55
sashaice [31]

Answer:

A fraction between that is 2311/3740

Step-by-step explanation:

This is because the denominator is simplified into one number and the fraction is taken from there.

3 0
3 years ago
Read 2 more answers
|1/2b-8|=|1/4b-1|<br> b=____ and ____
Deffense [45]

Answer:

  b = 12 and 28

Step-by-step explanation:

The absolute value equation |1/2b-8| = |1/4b-1| resolves to a piecewise linear function with three pieces. There are two solutions.

<h3>Domains</h3>

The absolute value function on the left has a turning point where its value is zero:

  1/2b -8 = 0

  b -16 = 0

  b = 16

The absolute value function on the right has a turning point where its value is zero:

  1/4b -1 = 0

  b -4 = 0

  b = 4

For b > 16, both absolute value functions are identity functions. In this domain, the equation is ...

  1/2b -8 = 1/4b -1

For 4 < b < 16, the function on the left negates its argument, so the equation in this domain is ...

  -(1/2b -8) = 1/4b -1

For b < 4, both functions negate their arguments, so the equation in this domain is ...

  -(1/2b -8) = -(1/4b -1)

For the purpose of finding the value of b, this is effectively identical to the equation for b > 16. (The value of b does not change if we multiply both sides of the equation by -1.)

<h3>Solutions</h3>

<u>Domain b < 4 ∪ 16 < b</u>

  1/2b -8 = 1/4b -1

  2b -32 = b -4 . . . . . . . . multiply by 4

  b = 28 . . . . . . . . . . . . add 32-b to both sides

This solution is in the domain of the equation, so is one of the solutions to the original equation.

<u>Domain 4 < b < 16</u>

  -(1/2b -8) = 1/4b -1 . . . . equation in this domain

  -2b +32 = b -4 . . . . . . multiply by 4

  36 = 3b . . . . . . . . . . . add 2b+4 to both sides

  12 = b . . . . . . . . . . . . divide by 3

This solution is in the domain of the equation, so is the other solution to the original equation.

<h3>Graph</h3>

For the purposes of the graph, we have define the function g(b) to be the difference of the two absolute value functions. The solutions are found where g(x) = 0, the x-intercepts. The graph shows those to be ...

  b = 12  and  b = 28

__

<em>Additional comment</em>

Defining g(b) = |1/2b-8| -|1/4b-1|, we can rewrite it as ...

  g(b)=\begin{cases}7-\dfrac{1}{4}b&\text{for }b < 4\\-\dfrac{3}{4}b+9&\text{for }4\le b < 16\\\dfrac{1}{4}b-7&\text{for }16\le b\end{cases}

Then the solutions are the values of b that make g(b) = 0.

4 0
2 years ago
On July 3rd, a family left for vacation. They drove 431.2 miles on the first day, then they drove an average of 826.4 miles each
Alexxx [7]
431.2+826.4d=2910.4
431.2 is only the first day therefore it doesn't need the variable because the variable represents the number of days. 826.4 even says "each remaining day" referring to what the variable represents.
6 0
3 years ago
A square has an area of 16 square ft what would be the measurement of its side
juin [17]

Answer:

4ft

Step-by-step explanation:

to get the area of a square you multiply the sides together so you just find the square root of the area

8 0
2 years ago
Read 2 more answers
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