what is the inverse function of g(x)= 3x+2?
y=3x+2
x=y/3 -2/3
inverse of g(x)=x/3 -2/3
A health food store mixes granola that costs them $2 per pound and raisins that cost them $ 4 per pound together to make 25 pounds of raisin granola. How many ponds of raisins should they include if they want the mixture to cost them a total of $80?
To find the inverse function of g(x) = 3x + 2, we'll follow these steps:
Step 1: Replace g(x) with y.
y = 3x + 2
Step 2: Swap x and y.
x = 3y + 2
Step 3: Solve for y.
x - 2 = 3y
Step 4: Divide by 3.
(x - 2) / 3 = y
Step 5: Replace y with the inverse notation, f^(-1)(x).
f^(-1)(x) = (x - 2) / 3
Therefore, the inverse function of g(x) = 3x + 2 is f^(-1)(x) = (x - 2) / 3.