The inverse of a function is gotten by swapping the x and y coordinates.
The inverse of function f(x) is\(h(x) = \frac x2 + 5\)
Given
\(f(x) = 2x - 10\)
Rewrite as:
\(y = 2x - 10\)
Swap x and y
\(x = 2y - 10\)
Solve for y
\(2y = x + 10\)
Divide by 2
\(y = \frac x2 + 5\)
So, we have:
\(h(x) = \frac x2 + 5\)
Hence, the inverse function is\(h(x) = \frac x2 + 5\)
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