f (x)= 2x + 4 g (x)= x + 3 Find (f - g) (1)

To find \((f - g)(1)\), we need to first determine the expression for \(f(x) - g(x)\) and then evaluate it at \(x = 1\).

1. **Find \(f(x) - g(x)\):**

   \[
   f(x) = 2x + 4
   \]
   \[
   g(x) = x + 3
   \]
   Subtracting \(g(x)\) from \(f(x)\):

   \[
   (f - g)(x) = f(x) - g(x) = (2x + 4) - (x + 3)
   \]

   Simplify the expression:

   \[
   (f - g)(x) = 2x + 4 - x - 3 = x + 1
   \]

2. **Evaluate \((f - g)(1)\):**

   Substitute \(x = 1\) into the simplified expression:

   \[
   (f - g)(1) = 1 + 1 = 2
   \]

So, \((f - g)(1) = 2\).

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:
1. What is \((f + g)(1)\) using the same functions \(f(x)\) and \(g(x)\)?
2. How would you find \((f \cdot g)(x)\) for the given functions?
3. What is the derivative of \((f - g)(x)\)?
4. How would you determine \((f \circ g)(x)\) for these functions?
5. If \(h(x) = f(x) - g(x)\), what is the value of \(h(2)\)?

**Tip:** When combining functions, always simplify the expressions before evaluating them at a specific value.

Learn how to evaluate (f - g)(1) for the functions f(x) = 2x + 4 and g(x) = x + 3. This problem involves subtracting functions and evaluating the result at a specific value. Suitable for high school students learning about functions and their operations.

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