If f (x) = 2x + 3 and g (x) = x2 - 1, find the values of combining these functions. Match each combined function to its corresponding value.

Tiles: 1) (f + g) (2)

2) (f - g) (4)

3) (f : g) (2) (f * g) (1)

Pairs A) - 4

B) 10

C) 0

We determine the answers to these items by substituting the values before performing the operation.

1) (f + g) (2)

f (2) = 2 (2) + 3 = 7

g (2) = 2² - 1 = 3

(f + g) (2) = 7 + 3 = 10 (Answer for 1 is B)

2) (f - g) (4)

f (4) = 2 (4) + 3 = 11

g (4) = 4² - 1 = 15

(f - g) (4) = 11 - 15 = - 4 (Answer for 2 is A)

3) (f : g) (2) (f x g) (1)

We already have the values of f (2) and g (2) above (in number 1)

f (1) = 2 (1) + 3 = 5

g (1) = 1² - 1 = 0

The answer to this item is zero because any number multiplied to zero is zero. Letter C.