Question

Evaluate the function when x=3, x=0, x=-2
f(x) = x
f(3) =
f(0) =
f(2) =

g(x)= 4x-1
g(3) =
g(0) =
g(2) =

f(x) =1/3x+2/3
f(3) =
f(0) =
f(2) =

Answer 1

Let's evaluate each of the functions at the specified values of \( x \):

1. **For \( f(x) = x \)**:
- \( f(3) = 3 \)
- \( f(0) = 0 \)
- \( f(-2) = -2 \)

2. **For \( g(x) = 4x - 1 \)**:
- \( g(3) = 4(3) - 1 = 12 - 1 = 11 \)
- \( g(0) = 4(0) - 1 = 0 - 1 = -1 \)
- \( g(2) = 4(2) - 1 = 8 - 1 = 7 \)

3. **For \( f(x) = \frac{1}{3}x + \frac{2}{3} \)**:
- \( f(3) = \frac{1}{3}(3) + \frac{2}{3} = 1 + \frac{2}{3} = \frac{5}{3} \)
- \( f(0) = \frac{1}{3}(0) + \frac{2}{3} = 0 + \frac{2}{3} = \frac{2}{3} \)
- \( f(2) = \frac{1}{3}(2) + \frac{2}{3} = \frac{2}{3} + \frac{2}{3} = \frac{4}{3} \)

Now let's summarize the evaluated values:

**For \( f(x) = x \)**:
- \( f(3) = 3 \)
- \( f(0) = 0 \)
- \( f(-2) = -2 \)

**For \( g(x) = 4x - 1 \)**:
- \( g(3) = 11 \)
- \( g(0) = -1 \)
- \( g(2) = 7 \)

**For \( f(x) = \frac{1}{3}x + \frac{2}{3} \)**:
- \( f(3) = \frac{5}{3} \)
- \( f(0) = \frac{2}{3} \)
- \( f(2) = \frac{4}{3} \)