What is the simplified form of the quantity 1 over b minus 1 over a all over the quantity 1 over b plus 1 over a?
1 answer:
Option B: (b-a)/(b+a) is the correct answer
Step-by-step explanation:
The given expression is;
First of all we have to take LCM in both numerator and denominator
So,
The reciprocal of the denominator will be multiplied with the numerator for simplification
So,
Hence,
Option B: (b-a)/(b+a) is the correct answer
Keywords: Fractions, expressions
Learn more about fractions at:
#LearnwithBrainly
You might be interested in
1) Inverse function:
2)
3)
Step-by-step explanation:
1)
In this first method, we want to find the inverse function of .
The original function is:
We rewrite it as
We swap the name of the variables:
Adding +4 on both sides:
And dividing by 3 on both sides:
which is identical to :
2)
In this second method, we want to use the output of one function as input to the other function, and show that the output value is equal to the imput value.
We start using the function
We choose . We find:
Now we use this output value as input in the function
Substituting ,
So, the final output value (1) is equal to the input value (1).
3)
Here we want to verify that the two are inverse functions by showing that
We have
Substituting g(x) into f(x),
Viceversa, we want to show that
Substituting g(x) into f(x), we get
So, the two functions are one the inverse of the other.
Learn more about inverse functions:
#LearnwithBrainly