Inverse of a Function
These videos show how to determine if a function has an inverse and then find the inverse.
Exercises
1.
\(f^{-1}(x)=6x-4\)
Domain of \( f^{-1}(x)\): \((-\infty, \infty)\)
Domain of \( f^{-1}(x)\): \((-\infty, \infty)\)
2.
\(f^{-1}(x)=x^2+10\)
Domain of \( f^{-1}(x)\): \([0,\infty)\)
Domain of \( f^{-1}(x)\): \([0,\infty)\)
3.
\(f^{-1}(x)=2-\dfrac{1}{x}\)
Domain of \( f^{-1}(x)\): \((-\infty,0)\cup(0,\infty)\)
Domain of \( f^{-1}(x)\): \((-\infty,0)\cup(0,\infty)\)
4.
\( f^{-1}(x)=\dfrac{5x+5}{x-3}\)
Domain of \( f^{-1}(x)\): \((-\infty, 3) \cup (3, \infty)\)
Domain of \( f^{-1}(x)\): \((-\infty, 3) \cup (3, \infty)\)