Question

Given that f(n)=3(2)^n and g(n)=8(5)^n , evaluate the following functions with the indicated values:

f(5)=

Answer 1

f(5) = 96

Explanation:

to evaluate f(5) substitute n = 5 into f(n)

f(n) = 3
`(2)^(n)` , then

f(5) = 3
`(2)^(5)` = 3 × 32 = 96

Answer 2

f(5) = 96

Explanation:

Note:

In mathematics, a function is a relation between a set of inputs and a set of outputs. Each input is associated with exactly one output. The set of inputs is called the domain of the function, and the set of outputs is called the codomain of the function.

A function can be defined in many ways, but one common way is to use a function notation.

In function notation, the function is denoted by a letter, such as f, and the input is denoted by a variable, such as x.

The output of the function is then denoted by f(x).

`\hrulefill`

In this case:

Given the functions:

`\sf f(n) = 3(2)^n`

`\sf g(n) = 8(5)^n`

In order to evaluate f(5), we need to substitute n = 5 into the function f(n).

This gives us:

`\sf f(5) = 3(2)^5`

Evaluating the exponent, we get:

`\sf f(5) = 3(32)`

Multiplying, we get:

`\sf f(5) = 96`

Therefore, f(5) = 96.