Given the function f (x) = 4 (x - 11) - 9, determine the value of x such that f (x) = - 13.

For x = 10, the value of the given function f (x) = 4 (x - 11) - 9 is - 13.

Step-by-step explanation:

Here, the given expression is:

f (x) = 4 (x - 11) - 9

Now, given: f (x) = - 13

⇒ - 13 = 4 (x - 11) - 9

Now, solving for the value of x, we get:

-13 = 4 (x-11) - 9

⇒ - 13 = 4 x - 44 - 9

or, - 13 + 44 + 9 = 4x

or, 4 x = 40

or, x = 40/4 = 10

or, x = 10

Hence, for x = 10, the value of the given function f (x) = 4 (x - 11) - 9 is - 13.