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:
13,000,000+200,000+60,000
Step-by-step explanation:
- Both n and k are positive i.e n,k>0
So the domain of n is
Now
- N has total 100+1=101 integer values
- K will also have 100+1=101values .
So total solution sets are 101 .
The domain of a function is the set of input values the function can take
The domain is all set of real numbers
<h3>How to determine the domain</h3>
The expression is given as:
Factorize the numerator of the expression
Simplify: Cancel out the common terms
The above expression can take any value of x.
Hence, the domain is all set of real numbers
Read more about domain at:
brainly.com/question/2264373