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Part 1
Find the inverse of the function. Is the inverse a function?
f(x)equals8 x minus 7
To find the inverse of the function f(x) = 8x - 7, we need to switch the roles of x and f(x) and solve for x.
So, let y = 8x - 7.
Now, switch x and y: x = 8y - 7.
Solve for y in terms of x:
x = 8y - 7
x + 7 = 8y
y = (x + 7) / 8
Therefore, the inverse function is f^(-1)(x) = (x + 7) / 8.
Since the inverse is able to be written as a function, then yes, the inverse is a function.