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Serjik [45]
3 years ago
15

If f(x) = 5x – 1, then f^-1(x)=

Mathematics
1 answer:
Umnica [9.8K]3 years ago
6 0

Answer:

\boxed{\sf \ \ \ f^{-1}(x)=\dfrac{x+1}{5} \ \ \ }

Step-by-step explanation:

hello

f(x)=5x-1

what can we say about f^{-1}(x) ?

(fof^{-1})(x)=x=f(f^{-1}(x))=5f^{-1}(x)-1

so

5f^{-1}(x)-1=x\\ 5f^{-1}(x)-1+1=5f^{-1}(x)=x+1 \ \ \ add \ \ 1\\   f^{-1}(x)=\dfrac{x+1}{5} \ \ \ divide \ \ by  \ \ 5

hope this helps

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The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = (x – 8). What is the slop
elena55 [62]
Well just looking at the points itself, the point (0,2) is the y intercept.. and the only answer choice you have with 2 as the y intercept is C. 
5 0
4 years ago
Read 2 more answers
How many ways can a dance instructor send 4 of her 11 students to a summer dance program?
Sedaia [141]

Answer:

d) 330

Step-by-step explanation:

The number of ways can a dance instructor send 4 of her 11 students to summer dance program is  C(11 , 4)

That is 11_{C_{4} } ways

by using formula n_{C_{r} } = \frac{n!}{(n-r)!r!}

now simplification

11_{C_{4} } = \frac{11!}{(11-4)!4!}

      = \frac{11X10X9X8X7!}{(7!)4X3X2X1}

after cancelling 7! and on simplification

   = \frac{11X10X9X8}{4X3X2X1}

after cancellation we get 330 ways

The number of ways can a dance instructor send 4 of her 11 students to summer dance program is 330

   

8 0
3 years ago
A museum has 450 visitors each day. If they are open 5 hours, how many people do they see per hour?
il63 [147K]

Answer: 90 visitors per hour

Explanation: "Per hour" means in 1 hour, so we can rewrite the given statement using fractions as <em>450 visitors/5 hours = __visitors/1 hour</em>.

To find out what goes in the bank, notice that we

have a 1 in the denominator of our second fraction.

So we want to find a fraction that is equivalent

to 450/5 that has a 1 in the denominator.

If we divide the numerator and denominator of 450/5 by 5,

we get the equivalent fraction 90/1 or <em>90 visitors/1 hour</em>.

So now we have <em>90 visitors/1 hour = __visitors/1 hour</em>.

So a 90 must go in the blank.

This means that the museum sees 90 visitors per hour.

5 0
3 years ago
If you were constructing a TRIANGULAR FRAME, and you had wood in the length of 4inches, 4 inches, and 7 inches, would it make a
klemol [59]

Answer:

  Yes

Step-by-step explanation:

In order to make a triangle with non-zero area, the sum of the shorter two sides must be greater than the longest side.

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8 0
3 years ago
Two fair dice are tossed, and the up face on each die is recorded. Find the probability of observing each of the following event
Paladinen [302]

Answer:

Step-by-step explanation:

The sample space is shown in the attached photo.

Probability = number of favourable outcomes/total number of outcomes.

Looking at the diagram, the total possible outcomes is 36.

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B) the total number of events in which the sum of the numbers is 10 or more is 6. Therefore, the probability that the sum of the numbers is 10 or more is

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7 0
3 years ago
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