for each function, find an equasion for the inverse. then use composition to verify that the equasion you wrote is the inverse.

f(x)=10x-6

x=10y-6

y=1/10 (x+6)

f(finverse)=f(1/10(x+6))=10(1/10(x+6)-6)
= x+6-6=x

what are the steps?

for each function, find an equasion for the inverse. then use composition to verify that the equasion you wrote is the inverse.
f(x)=10x-6

To find the equation for the inverse of a function, we can follow these steps:

Step 1: Replace f(x) with y.
y = 10x - 6

Step 2: Swap the x and y variables.
x = 10y - 6

Step 3: Solve for y.
x + 6 = 10y
(x + 6)/10 = y

So, the equation for the inverse of f(x) is:
f^(-1)(x) = (x + 6)/10

Now, let's verify that the equation we obtained is indeed the inverse by using composition.

Step 4: Substitute f^(-1)(x) into f(x).
f(f^(-1)(x)) = 10(f^(-1)(x)) - 6

Step 5: Substitute the inverse equation into f(x).
= 10((x + 6)/10) - 6
= x + 6 - 6
= x

Since the final result is equal to x, we've verified that the equation f^(-1)(x) = (x + 6)/10 is the inverse of f(x) = 10x - 6.