Question

Given that f(n) = 8n – 3 and g(n) = 3n - 10, evaluate the following functions with the indicated
values.
1. f(5) = 2. g(5) =
4. g(-4) =
5. f(0) =
6. g(0)=
7. f(1) =
8. g(1) =

Answer 1

Answer:

1. 37

2. 5

4. -22

5. -3

6. -10

7. 5

8. -7

Step-by-step explanation:

Given the functions:

$f(n) = 8n - 3 \\g(n) = 3n - 10$

To find:

$1. f(5) = ?\\2. g(5) =?\\4. g(-4) =?\\5. f(0) =?\\6. g(0)=?\\7. f(1) =?\\8. g(1) =?$

Solution:

Let us put the given values one by one in the functions $f(n), g(n)$ to find the various values required.

1. $f(5)$ means to replace the value of $n$ with 5 in $f(n)$:

$f(5) = 8\times 5 - 3 = \bold{37}$

2. $g(5)$ means to replace the value of $n$ with 5 in $g(n)$:

$g(5) = 3\times 5 - 10 = \bold{5}$

4. $g(-4)$ means to replace the value of $n$ with -4 in $g(n)$:

$g(-4) = 3\times -4 - 10 = \bold{-22}$

5. $f(0)$ means to replace the value of $n$ with 0 in $f(n)$:

$f(0) = 8\times 0 - 3 = \bold{-3}$

6. $g(0)$ means to replace the value of $n$ with 0 in $g(n)$:

$g(0) = 3\times 0 - 10 = \bold{-10}$

7. $f(1)$ means to replace the value of $n$ with 1 in $f(n)$:

$f(1) = 8\times 1 - 3 = \bold{5}$

8. $g(1)$ means to replace the value of $n$ with 1 in $g(n)$:

$g(1) = 3\times 1 - 10 = \bold{-7}$