Answer:
f¯¹(x) = 23/ (6x + 3)
Step-by-step explanation:
f(x) = (23 – 3x)/6x
The inverse, f¯¹, for the above function can be obtained as follow:
f(x) = (23 – 3x)/6x
Let y be equal to f(x)
Therefore, f(x) = (23 – 3x)/6x will be written as:
y = (23 – 3x)/6x
Next, interchange x and y.
This is illustrated below:
y = (23 – 3x)/6x
x = (23 – 3y)/6y
Next, make y the subject of the above expression. This is illustrated below:
x = (23 – 3y)/6y
Cross multiply
6xy = 23 – 3y
Collect like terms
6xy + 3y = 23
Factorise
y(6x + 3) = 23
Divide both side by (6x + 3)
y = 23/ (6x + 3)
Finally, replace y with f¯¹(x)
y = 23/ (6x + 3)
f¯¹(x) = 23/ (6x + 3)
Therefore, the inverse, f¯¹, for the function f(x) = (23 – 3x)/6x is
f¯¹(x) = 23/ (6x + 3)
Answer:
let's say the item bought costs £20
sales tax first
20/100 X 7.5 = 1.50. 20 + 1.50 = 21.50
21.50/100 X 20 = 4.30
21.50 - 4.30 = £17.20
discount first
20/100 X 20 = 4
20 - 4 = 16
16/100 X 7.5 = 1.20
16 + 1.20 = £17.20
it wouldn't matter
Eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
2750
Step-by-step explanation:
It is 2750 because there is 100cm in 1m, which means if you do 27.5 times 100 you will then get the answer of 2750.