SOLUTION: The ouput of a function is 14 less than 6 times the input. Find the input when the output is 22

Algebra ->  Functions -> SOLUTION: The ouput of a function is 14 less than 6 times the input. Find the input when the output is 22       Log On


   



Question 664936: The ouput of a function is 14 less than 6 times the input. Find the input when the output is 22

Answer by kevwill(135) About Me  (Show Source):
You can put this solution on YOUR website!
From the problem statement, we have:
f%28x%29+=+6%2Ax+-+14
So we need to solve for x when f(x) = 22
22+=+6%2Ax+-+14
22+%2B+14+=+6%2Ax+-14+%2B+14
36+=+6%2Ax
36%2F6+=+%286%2Ax%29%2F6
6+=+x
So the input must be 6 to produce an output of 22.