Find the inverse mentally.f (x) = 7x - 8
Question
Find the inverse mentally.f (x) = 7x - 8
Solution
To find the inverse of the function f(x) = 7x - 8, you need to follow these steps:
- Replace f(x) with y, so the equation becomes y = 7x - 8.
- Swap x and y to get x = 7y - 8.
- Solve for y to find the inverse function.
Let's solve for y:
x = 7y - 8 x + 8 = 7y y = (x + 8) / 7
So, the inverse of the function f(x) = 7x - 8 is f^-1(x) = (x + 8) / 7.
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