Question

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

Answer 1

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

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.