Question

Complete the table of values for f(x)=5x+4 and g(x)=x2+2x+3.
x f(x) g(x)
2
3
4
5

Answer 1

To complete the table of values for the functions \( f(x) = 5x + 4 \) and \( g(x) = x^2 + 2x + 3 \), we need to calculate \( f(x) \) and \( g(x) \) for each given value of \( x \).

Let's compute these values for \( x = 2, 3, 4, \) and \( 5 \).

### For \( x = 2 \):
- \( f(2) = 5(2) + 4 = 10 + 4 = 14 \)
- \( g(2) = (2)^2 + 2(2) + 3 = 4 + 4 + 3 = 11 \)

### For \( x = 3 \):
- \( f(3) = 5(3) + 4 = 15 + 4 = 19 \)
- \( g(3) = (3)^2 + 2(3) + 3 = 9 + 6 + 3 = 18 \)

### For \( x = 4 \):
- \( f(4) = 5(4) + 4 = 20 + 4 = 24 \)
- \( g(4) = (4)^2 + 2(4) + 3 = 16 + 8 + 3 = 27 \)

### For \( x = 5 \):
- \( f(5) = 5(5) + 4 = 25 + 4 = 29 \)
- \( g(5) = (5)^2 + 2(5) + 3 = 25 + 10 + 3 = 38 \)

Now, summarizing the values in the table:

| x | f(x) | g(x) |
|---|------|------|
| 2 | 14 | 11 |
| 3 | 19 | 18 |
| 4 | 24 | 27 |
| 5 | 29 | 38 |

This completes the table of values for the given functions \( f(x) \) and \( g(x) \).