Find the inverse of the function.
f(x) = -0.25x + 6
I am having trouble when there is a decimal to solve like -0.25x
You could just convert the decimal to a fraction
and -.25 = -1/4 ( if you have $ 0.25, you have 25 cents which we call "a quarter" )
y = -.25x + 6 -----> y = (-1/4)x + 6
step1 of finding inverse: interchange the x's and y's
----> x = (-1/4)y + 6
step2: solve this inverse equation for y
4x = -y + 24
y = -4x + 24
Thank you so much!!
omg thxxxxxx
To find the inverse of a function, we need to swap the x and y variables and solve for y. In this case, we have the function f(x) = -0.25x + 6.
Step 1: Swap the variables
Instead of f(x), we write x = -0.25y + 6.
Step 2: Solve for y
To solve for y, we need to isolate it on one side of the equation. Let's do that:
x - 6 = -0.25y
Now, we need to get y by itself. Since the coefficient of y is -0.25, we can divide both sides of the equation by -0.25 to solve for y:
(y-intercept) = (x - 6) / -0.25
Step 3: Simplify
To simplify the expression, we can divide both the numerator and denominator by 0.25:
(y-intercept) = (x - 6) / -0.25
(y-intercept) = -4(x - 6)
So, the inverse function is:
f^(-1)(x) = -4(x - 6)
Note that when dealing with decimals in these calculations, it's crucial to be careful with the arithmetic operations to ensure a precise result. Rounding errors can occur if calculations are not done accurately.