Question

Given that f(x) = 2x – 5 , find the value of x that makes f(x) :

a) 5
b) 0
c) 3
d) -2

Answer 1

To find the value of x for different values of f(x) in the equation f(x) = 2x - 5, we solve the equation by setting f(x) to the desired value and then solving for x. For f(x) = 5, x = 5; f(x) = 0, x = 2.5; f(x) = 3, x = 4; f(x) = -2, x = 1.5.

Step-by-step explanation:

The question is asking to solve the equation f(x) = 2x - 5 for different values of f(x). Here are the steps to find x when f(x) equals different values:

1. For f(x) = 5: We set up the equation 2x - 5 = 5. Adding 5 to both sides gives us 2x = 10, and dividing by 2 gives us x = 5.
2. For f(x) = 0: We set up the equation 2x - 5 = 0. Adding 5 to both sides gives us 2x = 5, and dividing by 2 gives us x = 2.5.
3. For f(x) = 3: We set up the equation 2x - 5 = 3. Adding 5 to both sides gives us 2x = 8, and dividing by 2 gives us x = 4.
4. For f(x) = -2: We set up the equation 2x - 5 = -2. Adding 5 to both sides gives us 2x = 3, and dividing by 2 gives us x = 1.5.