F (x) = 3x-27/14

Find f (f^-1 (241))

Okay, the f^-1 means we need to invert the original function. So switch x's and y's and solve for y.

y = 3x - 27/14

x = 3y - 27/14

-3y = - x - 27/14

y = 1/3x + 9/14

Then plug in 241

y = 80 1/3 + 9/14

y = 80 41/42

Now you have to plug it back into the original function.

So:

y = 3 (80 41/42) - 27/14

y = 3401/42 - 27/14

y = 79.0476190476 or 79 and 1/21