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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

Respuesta :

taskmasters
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. 

Option 1 matches with Option B , Option 2 matches with Option A and Option 3 matches with Option C

What is a function ?

A function is a mathematical statement that relates an independent and a dependent variable.

It is given that

f(x) = 2x + 3

g(x) = x² − 1

1) (f + g)(2)

(f+g) (x) =x²+2x +2

(f + g)(2) =  10

2) (f - g)(4)

    (f-g)(x) = -x²-2x-2

    (f - g)(4) =  -4  

3) (f ÷ g)(2) (f x g)(1)

f(2)= 7 g(2)= 3

and the value of

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

g(1) = 1² - 1 = 0

(f ÷ g)(2) (f x g)(1) = 0

Therefore Option 1 matches with Option B , Option 2 matches with Option A and Option 3 matches with Option C

To know more about Function

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