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guapka [62]
3 years ago
13

Which function is the inverse of f Superscript negative 1 Baseline (x) = negative one-fifth x minus four-fifths?

Mathematics
2 answers:
DedPeter [7]3 years ago
5 0

Answer:

f(x) = -5x - 4

Step-by-step explanation:

We want to get the inverse of the following function:

f^-1(x) = (-1/5)x - 4/5

To do that, we have to replace x with f(x) and f^-1(x) with x, as follows:

x = (-1/5)f(x) - 4/5

And then solve for f(x), the inverse of f^-1(x).

x + 4/5 = (-1/5)f(x)

f(x) = -5x + (-5)4/5

f(x) = -5x - 4

To check our result we compute a pair (x, f(x))

x   f(x)

1   -5*1 - 4 = -9

which has to be equivalent to (-9, 1) in the original function

x      f^-1(x)

-9     (-1/5)*(-9) - 4/5 = 1

Angelina_Jolie [31]3 years ago
3 0

Answer:

c on edge

Step-by-step explanation:

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Equation 2(4x − 11) = 10.
dedylja [7]
Since you didn't provide instructions, I am going to assune you are being asked to solve for x. To do this, just distribute and simplify.

2(4x-11)=10
Distribute the 2 to the expression (4x-11)
8x-22=10
Add 22 on both sides
8x=32
Divide by 8 on both sides
x=4

~I hope this helps!~
4 0
3 years ago
The Great Pyramid of Giza is an example of a square pyramid and is the last
Verdich [7]

Answer:

The surface area of the pyramid is 466,137 squared cubits

Step-by-step explanation:

This is simply asking us to find the surface area of the square based pyramid with the given dimensions.

The first thing we need to know is the principle for finding the surface area of such pyramidal shapes. To get the surface area of a pyramid, we will have to add the base area to the area of the side faces ( lateral area)

The base area of the square based pyramid, will be the same as the area of a square which is = 453 cubits X 453 cubits =205209 cubits^{2}

The lateral area has already been given to us as 260,928 squared cubits.

The surface area of the pyramid is 260,928 + 205209 = 466137 squared cubits

Hence, the surface area of the pyramid is 466137 squared cubits

5 0
3 years ago
Assuming that the ship travels at a constant speed, what is its speed?
Ilia_Sergeevich [38]

Answer: S= d/p

Step-by-step explanation: Take the distance (d) divided by time (t) and you should have your answer

4 0
3 years ago
Simplify the expression the root of negative sixteen all over the quantity of three minus three i plus the quantity of one minus
aliya0001 [1]
The first step is to multiply the fraction by (3 +3i) / (3 +3i) to delete the i terms from the denominator:

\frac{ \sqrt{-16} }{3-3i} . \frac{3+31}{3+3i} +1-2i=  \frac{4i(3+3i)}{9+9} +1-2i= \frac{12i-12}{18} +1-2i=

\frac{12i-12+18-36i}{18} = \frac{6-24i}{18} = \frac{1}{3} - \frac{4}{3} i
7 0
3 years ago
What dose slope represent in a problem.
Angelina_Jolie [31]

Answer:

Slope is going to be the "M" or gradient of the line. It represents the change in the Y value over time as the line continues. It tells you how high or low it points depending on what the slope is.

Thanks for letting me help!!

4 0
3 years ago
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