1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lelu [443]
3 years ago
5

Please help. Determine the domain of the inverse function and find the inverse function.

Mathematics
1 answer:
dolphi86 [110]3 years ago
5 0
\bf A=\cfrac{1}{2}20h\implies A=\cfrac{20h}{2}\implies A=10h

now, the range for that equation is all real numbers, is a linear equation and therefore will pass the "vertical line test" and thus be a one-to-one function, and therefore will have an inverse function.

for a function that has an inverse function, the range of the original function is exactly the same as the domain for its inverse.  Therefore, if the range of that function is all real numbers, then the domain of its inverse is just that.

what's the inverse, well, let's do the switcharoo.

\bf A=10h\qquad inverse\implies \boxed{h}=10\boxed{A}\impliedby A^{-1}(h)

we are not solving for "h", because, well, is already solved for "h".
You might be interested in
A triangle has a base of 54 cm. The height is unknown. Complete the equation that can be used to find the area, A, of the triang
Nookie1986 [14]

Answer:

Step-by-step explanation:

area=1/2×base×height

A=1/2×54×h=27h

4 0
3 years ago
Identify whether the equation represents an exponential growth or exponential decay function.1. y = 1/4 (1/e)^-2x2. y = (1/e)^4x
zvonat [6]

The general formula for exponential growth and decays is:

y=y_0e^{kx}

if k>0 then then it is an exponential growth function. If k<0 then the function represents an exponential decay.

Now we need to classify each of the functions:

1.

The function

y=\frac{1}{4}(\frac{1}{e})^{-2x}

can be wrtten as:

\begin{gathered} y=\frac{1}{4}(e^{-1})^{-2x}^{} \\ =\frac{1}{4}e^{2x} \end{gathered}

comparing with the general formula we notice that k=2, therefore this is an exponential growth.

2.

The function

y=(\frac{1}{e})^{4x}

can be written as:

\begin{gathered} y=(\frac{1}{e})^{4x} \\ y=(e^{-1})^{4x} \\ y=e^{-4x} \end{gathered}

comparing with the general formula we notice that k=-4, therefore this is an exponential decay.

3.

The function

y=2e^{-x}+1

comparing with the general formula we notice that k=-1, therefore this is an exponential decay.

5 0
1 year ago
Trapezoid ABCD has the following coordinates-A (2, 8), B (6, 8), C (8, 3), and D (1, 3). What are the coordinates of trapezoid A
Novay_Z [31]

Answer: A' ( -1,4) , B' (-4,4), C'(  -5 ,-1), D'( -1,-5)

Im not 100% sure its correct, its hard without an image or a picture of the problem

Step-by-step explanation:

5 0
2 years ago
HELP PLEASE<br>Determine the missing statements and reasons for the following proof.
lilavasa [31]
Reasons:
Reason 3: Congruent supplements theorem

Statements:
Statement 4: Angle 1 is congruent with angle 2

Answer: Option D:
Reason 3: Congruent supplements theorem.
Statement 4: Angle 1 is congruent with angle 2
3 0
3 years ago
Read 2 more answers
Question #1) x4 = 256 solve for x
-BARSIC- [3]

In the given equation the value of x is 4.

According to the statement

we have given that the a equation and we have to solve that equation for x and find the value of the x.

So, For the value of x in given statement:

The given equation is

x⁴ = 256

we know that the 2 changes into the square root after rearrangement in the equation so, the equation become

(x²)² = 256

Now,

(x²) = √256

Then equation becomes

(x²) = 16

This is because the square root of the 256 is 16.

Now another square changes into square root then

x = √16

And

x = 4

So, In the given equation the value of x is 4.

Learn more about Square root here

brainly.com/question/98314

#SPJ1

3 0
1 year ago
Other questions:
  • An experiment consists of flipping a single coin followed by rolling a six-sided cube (a die).
    13·2 answers
  • The function f(x) is represented by this table of values .Match average rate of change of f(x) with corresponding intervals
    6·1 answer
  • 8 points and brainliest answer if you get it right
    10·2 answers
  • 1.2, 3, 7.5, 18.75, ... Which formula can be used to describe the sequence? a.F(x) = 1.2(2.5)^x – 1 b.F(x) = 2.5(1.2)^x – 1 c.F(
    7·2 answers
  • Rachel spent $38 for dinner. This was $10 less than 3 times what she spent for a movie. How much was the movie?
    6·1 answer
  • Jude incorrectly simplified the expression ( 1/2)^2 x 1/2 x ( 1/2)^3
    15·1 answer
  • Place the following decimals in order from least to greatest 2.09,2.005,.2,2.033,2.1,2.05
    13·1 answer
  • Will someone please answer this and remind me how to solve this
    12·2 answers
  • What is the value of x rounded to nearest tenth
    15·1 answer
  • Whats is the estimate of 145.5÷21
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!