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Crazy boy [7]
3 years ago
15

Find f-1(x) if f(x) = 4x + 5.​

Mathematics
2 answers:
LUCKY_DIMON [66]3 years ago
8 0

Answer:

f^{-1}(x) = \frac{x-5}{4}

Step-by-step explanation:

let y = f(x) and rearrange making x the subject.

y = 4x + 5 ( subtract 5 from both sides )

y - 5 = 4x ( divide both sides by 4 )

\frac{y-5}{4} = x

Change y back into terms of x

f^{-1}(x) = \frac{x-5}{4}

Anton [14]3 years ago
3 0

Answer:

(x - 5)/4

Step-by-step explanation:

y = 4x + 5

Make x the subject

x = (y - 5)/4

Interswitch x and y

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

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K(x) = 6x+100 k(-5) =
kkurt [141]

Answer:

k(-5)=70

Step-by-step explanation:

The given function is

k(x)=6x+100

To find k(-5), we put x=-5 into the given function to get;

k(-5)=6(-5)+100

Multiply out to obtain;

k(-5)=-30+100

This is the same as;

k(-5)=100-30

This simplifies to

k(-5)=70

3 0
3 years ago
Why do you think we have more protests in modern times than in earlier time periods?
Wittaler [7]
I think there are more protests in modern day times rather then in the earlier time periods, because people are now more aware of their rights, and how they influence the way their country is run. Also, nowadays most countries are democratic, meaning that everyone can express their opinions and people protest as a way of expressing their opinions about something.
4 0
3 years ago
2. On vacation, Katelyn wanted to have her hair braided in multiple braids to cover her head. The beautician charges a flat rate
scoundrel [369]
29 = 4 + .75b
subtract 4
25 = .75b
divide .75
b = 33.3333333
b = 33 braids
4 0
2 years ago
Read 2 more answers
Aryana simplified the expression 3(x + 4) + 2(2x – 3). She justified her work by letting x = 3 in both the given and simplified
Artemon [7]

Answer:

7x+6

Step-by-step explanation:

Aryana simplified the expression 3(x + 4) + 2(2x – 3). She justified her work by letting x = 3 in both the given and simplified expressions. Which is the correct simplified expression for Aryana's expression? What is the result for both expressions when x = 3?

Simplified Expression:

3(x + 4) + 2(2x – 3)

3x+12+2(2x-3)

3x+12+4x-6

7x+6

8 0
2 years ago
Read 2 more answers
The Yu family and the Sainz family went on vacation together and each family leased a car. The leasing company charged a flat re
Dafna11 [192]

Answer:

y = 0.15x+77 is the equation linear connecting total cost y and miles driven x

Step-by-step explanation:

Given that the leasing company charged a flat rental fee for the week, plus a charge for each mile driven.

Let flat rental fee be c and cost per mile driven = m and miles driven = x

Total cost =y

Then y = mx+C is the linear equation.

to find m and c, we use the fact that y =110.30 when x = 222

i.e. 110.30 = c+222x

and similarly 99.05 = c+147x

Subtract to eliminate c

11.25 = 75 x

0.15 =x

Substitute in I equation

110.30 = c+222(0.15)

c = 77

Hence y = 0.15x+77 is the equation linear connecting total cost y and miles driven x

7 0
2 years ago
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