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motikmotik
3 years ago
7

Find f^-1 (x) using the function given

Mathematics
1 answer:
inessss [21]3 years ago
5 0

Answer:

  f^{-1}(x)=\sqrt{x+5}

Step-by-step explanation:

Interchange x and y, then solve for y.

x = y^2 -5\\\\x+5=y^2\\\\\sqrt{x+5}=y\\\\f^{-1}(x)=\sqrt{x+5}

_____

The attached graph shows the function f(x) and its inverse g(x). They are reflections of each other across the line y=x, as they should be.

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What is the range of the function f(x) = 2x1 – 3?
Vinil7 [7]

Answer:

So, the range of this function will be all real numbers.

or R = ( -∞, +∞ )

Step-by-step explanation:

First I would like to do is to show you how to find the domain of the function.

The domain is the set of all x values or input values that are going to make our function true.

The graph of this linear function i.e f(x) = 2x1 – 3 will be a straight line where for all the values of x (whether positive or negative) there is a point on this function that has a y value.

So, for every input of x ( no matter whether it is negative or it is positive, whether it is the lowest or it is the highest), there will always be an output. There will be no breaks on the graph.

So, the domain of this function will be all real numbers.

Or D = ( -∞, +∞ )

In order to determine the range, we must know that for every input value of x ( no matter whether it is negative or it is positive, whether it is the lowest or it is the highest, there will be always be the value of y (output) of this function that can be any real number. So, the set of all the possible values of y will be the range of the function.

So, the range of this function will be all real numbers.

or R = ( -∞, +∞ )

Keywords: Domain, Range, Real Number

Learn more about domain and range from brainly.com/question/85220

#learnwithBrainly

5 0
3 years ago
Simplified fraction 8 (5/6) =
ser-zykov [4K]

hi

technique is  to decompose both part of the fraction ( in prime numbers if possible )

 8 * 5/6   =     2*4*5  / 3*2   =   20/3

3 0
3 years ago
Read 2 more answers
If f(x)=1/x+2 what is f(3+h)
Leviafan [203]
Let x = 3+h
\frac{1}{(3 + h) + 2}  \\  =  \frac{1}{h + 3 + 2}  \\  =  \frac{1}{h + 5}
The answer is A.
6 0
4 years ago
Read 2 more answers
1. The ice cream shop offers a choice of a 3 cone sizes, 15 flavors, and 8
Aliun [14]

Answer:

3 x 15 x 8 = 360

so, if there were 3 cone sizes, 25 flavors of ice cream, and 8 toppings, there would be about 360 different operations

5 0
3 years ago
Quadrilateral ACEG ≅ Quadrilateral M N P R
Murrr4er [49]
Letter C is true. Hope this helped!
4 0
3 years ago
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