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.
6 for 2 refills. Since its less money and you still get refills.
Distribute the 3a^n to all the other values then solve...
(3a^n*a^n)+(3a^n*a^n)+(3a^n*-1)
4a^2n+4a^2n-3a^n=
8a^2n-3a^n
Answer:
y - 7 = -4/3(x + 1)
Step-by-step explanation:
<u>Given</u>
<u>Convert to point slope form</u>
y - y1 = m(x - x1)
m: represents what the slope is
y - 7 = -4/3(x + 1)
<u>Distribute -4/3</u>
-4/3 * x = -4/3x
-4/3 * 1 = -4/3
y - 7 = -4/3x - 4/3
<u>Add seven in both sides</u>
21/3 -4/3 = 17/3
y = -4/3x + 17/2
<u>Answer</u>
linear equation: y = -4/3x + 17/2
point-slope form: y - 7 = -4/3(x + 1)