Question

A function f(x) has two properties: f(a+b)=f(a)-b f(2)=10 What is the value of f(5)？

A) 5
B) 7
C) 9
D) 11

Answer 1

To find the value of f(5), we use the given properties and solve the equation f(5+2) = f(5) - 2. By substituting f(2) = 10, we can solve for f(5) and obtain the value of 12.

Step-by-step explanation:

To find the value of f(5), we can use the given properties of the function. We are given that f(2) = 10. Using the property f(a+b) = f(a) - b, we can substitute 5 for a and 2 for b to get f(5+2) = f(5) - 2. Simplifying, we have f(7) = f(5) - 2. We are also given that f(2) = 10, so substituting this value, we can write the equation 10 = f(5) - 2. Solving for f(5), we add 2 to both sides of the equation: f(5) = 10 + 2 = 12. Therefore, the value of f(5) is 12. The correct answer is not provided in the given options.