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Kay [80]
3 years ago
12

Find the inverse of the following function: f(x) = 5/ square root of x, for x > 0

Mathematics
2 answers:
UNO [17]3 years ago
7 0
The inverse is y = (5/y)^2

You can get this by switching the x and y values and then solving for your new y. 

x = 5/sqrt(y) ----> Multiply both sides by sqrt(y)
sqrt(y)*x = 5 ---> divide both sides by x
sqrt(y) = 5/x ---> square both sides
y = (5/x)^2
USPshnik [31]3 years ago
5 0

Answer:

f-1=25/x^2, for x>0

Step-by-step explanation:

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The sum of two consecutive integers is 65. what are the two integers? show steps please.
Gnoma [55]

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the two integers, given that they are consecutive, and their sum is 65.

\triangle~\fbox{\bf{KEY:}}

  • Consecutive integers are right next to each other, like 12 and 13. or 65 and 66.

Let the first integer be x, and let the second integer be x+1.

Their sum is 65. Let's set up our equation:

\longmapsto\sf{x+x+1=65}

Combine like terms:

\longmapsto\sf{2x+1=65}

Subtract 1 from both sides of the equal sign:

\longmapsto\sf{2x=64}

Divide both sides by 2:

\longmapsto\sf{x=32}

To find the second integer, subtract the first integer from the sum of the two integers:

\longmapsto\pmb{65-32}

\longmapsto\pmb{33}

The integers are: 33 and 32.

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

7 0
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