Question

The following equation defines f(x)=-3x-5 . If (-5,n) is an ordered pair of the function rule, what is the value of n?

Answer 1

Given:

The function is

$f(x)=-3x-5$

(-5,n) is an ordered pair of the function rule.

To find:

The value of n.

Solution:

If (-5,n) is an ordered pair of the function rule, then the function must be satisfied by the point (-5,n). It means f(-5)=n.

Substitute x=-5 in the given function.

$f(-5)=-3(-5)-5$

$f(-5)=15-5$

$f(-5)=10$

We know that, $f(-5)=n$. So,

$n=10$

Therefore, the value of n is 10.