The tables for f(x) and g(x) are shown below.

x f(x)
–5 –11
–2 1
1 13
5 29

x g(x)
–5 –7
–2 –1
1 5
5 13

What is the value of (f – g)(5)?
a. –18
b. –4
c. 16
d. 42

Respuesta :

Answer:

16

Explanation:

The difference of two functions evaluated at a given number is the same as each function evaluated at that number, then subtracted.

This means in order to find our answer, we take the value of the first function at 5, the value of the second function at 5, and subtract:

29 - 13 = 16.

The value of function (f-g)(5) is option (c) 16

What is Function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

What is subtraction?

Subtraction is an arithmetic operation that represents the operation of removing objects from a collection

From the table

f(5) = 29

g(5) = 13

We know that,

(f-g)(x) = f(x) - g(x)

Then,

(f-g)(5)= f(5) - g(5)

Substitute the values

(f-g)(5)=29-13 =16

Hence, the value of (f-g)(5) is option (c) 16

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