Two functions are shown in the table below: Function 1 2 3 4 5 6 f (x) = - x2 + 4x + 12 g (x) = x + 2 Complete the table on your own paper, then select the value that is a solution to f (x) = g (x). x = 2 x = 3 x = 5 x = 6

Question

Hillary Roberts

Mathematics

11 September, 20:25

Two functions are shown in the table below: Function 1 2 3 4 5 6 f (x) = - x2 + 4x + 12 g (x) = x + 2 Complete the table on your own paper, then select the value that is a solution to f (x) = g (x). x = 2 x = 3 x = 5 x = 6

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Answers (1)

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Lillian · Answer 1

x f (x) g (x)

1 15 3

2 16 4

3 15 5

4 12 6

5 7 7

6 0 8

f (x) = g (x) when x = 5

Step-by-step explanation:

f (x) = - x² + 4x + 12

f (1) = - (1) ² + 4 (1) + 12 = 15

f (2) = - (2) ² + 4 (2) + 12 = 16

f (3) = - (3) ² + 4 (3) + 12 = 15

f (4) = - (4) ² + 4 (4) + 12 = 12

f (5) = - (5) ² + 4 (5) + 12 = 7

f (6) = - (6) ² + 4 (6) + 12 = 0

g (x) = x + 2

g (1) = 1 + 2 = 3

g (2) = 2 + 2 = 4

g (3) = 3 + 2 = 5

g (4) = 4 + 2 = 6

g (5) = 5 + 2 = 7

g (6) = 6 + 2 = 8