Given the function f(x) = 2x, find the value of f−1(16).

Hi there! The answer is 8.


First we need to find the inverse function.


Switch places of the variables.


Divide both sides of the equation by 2.


Switch sides.


Now we've found our inverse function.


Plug in x = 16 into the formula.


Therefore, the answer is 8.
~ Hope this helps you!

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

answer: the function g(x) has the greatest slope.