To find the inverse of a function, stick a y for the f(x).
So, f(x) = 4x + 12 becomes y = 4x + 12
Then switch the x and y.
So, y = 4x + 12 becomes x = 4y + 12
Then solve for y.
x = 4y + 12
x - 4y = 12 <-- Subtract both sides by 4y
-4y = 12 - x <-- Subtract both sides by x
y =

So, the inverse of f(x) is g(x) = -3 + x/4.
Answer:

Step-by-step explanation:
Once again, we have a problem with the |x| in it, so like last time, every number that is the outcome within those brackets, is positive.
Let us check:
A. x = 21 over 4 and x = -11 over 4
This one is a very simple to say no to, as we are talking about decimals (if you convert into decimals at this point), as in -16 there are no decimals.
False.
B. x = -1 and x = 9
-1 is correct. But 9 is not. Why? Here:
9 + 5 is 14
14 the multiplied by -4 does not equal -16
False.
C. x = -1 and x = -9
Like what I said before, -1 is correct, now in this answer, -9 is also correct.
Unlike the last one, this one is -9 + 5 which is -4, then since it is inside the positive brackets, the number 4 becomes positive.
4 * -4 = -16
True.
The last one is incorrect. You know why
;)
The answer to your question is A
Answer:
19.95
Step-by-step explanation:
if you take 1.05 times it by 19 you get your answer