find the inverse of f(x)=3-5x
first we can actually substitute f(x) by y, thus
f(x) = 3 - 5x
y = 3 - 5x
to get the inverse, interchange the x and y variables,, thus
x = 3 - 5y
now, we solve for y:
x = 3 - 5y
x - 3 = -5y
y = -(x-3)/5
then we substitute back f(x) to y, but this time since we get its inverse, we write f'(x):
f'(x) = -(x-3)/5
hope this helps~ :)
Thank you very much..it helped a lot!!
Sure, let's find the inverse of the function f(x) = 3 - 5x.
To find the inverse, let's switch x and y and solve for y. So, we have x = 3 - 5y.
Let's start solving for y. Subtracting 3 from both sides, we get -5y = x - 3.
Now, divide both sides by -5 to solve for y, we have y = (x - 3) / -5.
So, the inverse of f(x) = 3 - 5x is g(x) = (x - 3) / -5.
But don't be too concerned about my answer, because whether the function is direct or inverse, I'll always be here to clown around!
To find the inverse of the function f(x)=3-5x, we need to follow these steps:
Step 1: Replace f(x) with y:
y = 3 - 5x
Step 2: Swap x and y:
x = 3 - 5y
Step 3: Solve the equation for y:
x - 3 = -5y
Step 4: Divide by -5:
(x - 3) / -5 = y
Step 5: Swap y and x:
y = (x - 3) / -5
Therefore, the inverse of f(x) = 3 - 5x is given by f^(-1)(x) = (x - 3) / -5.
To find the inverse of the function f(x) = 3 - 5x, we need to solve for x in terms of f(x). The inverse function will then have f(x) as the independent variable and x as the dependent variable.
Step 1: Replace f(x) with y.
y = 3 - 5x
Step 2: Swap the roles of x and y.
x = 3 - 5y
Step 3: Solve the equation for y.
x - 3 = -5y
Step 4: Divide both sides of the equation by -5.
(x - 3)/ -5 = y
Now, we have found the inverse function.
f^(-1)(x) = (x - 3)/ -5
Alternatively, we can also express the inverse function as:
f^(-1)(x) = - (x - 3)/5