Jen is thinking of a particular number. Which rational function would represent the sum of twice her number and three times the reciprocal of her number?
Fx) = 2x + 3*1/x
F(x) = 2x + 3/x
To find the rational function that represents the sum of twice Jen's number and three times the reciprocal of her number, let's break down the problem into steps:
Step 1: Identify the variable
First, let's identify the variable representing Jen's number. Let's say it is x.
Step 2: Write the expression for Jen's number
Jen's number can be represented as x.
Step 3: Write the expression for twice her number
Twice Jen's number would be 2x.
Step 4: Write the expression for the reciprocal of her number
The reciprocal of Jen's number can be represented as 1/x.
Step 5: Multiply the reciprocal by three
Three times the reciprocal of Jen's number would be 3 * (1/x).
Step 6: Write the rational function representing the sum
To get the sum of twice her number and three times the reciprocal of her number, we sum the two expressions from steps 3 and 5:
Rational function = 2x + 3 * (1/x).
Therefore, the rational function representing the sum of twice Jen's number and three times the reciprocal of her number is 2x + 3/x.