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Questions and Answers
If $f(x) = 3x^2 - 4$, what is the inverse function of $f$?
If $f(x) = 3x^2 - 4$, what is the inverse function of $f$?
- $f^{-1}(x) = rac{ ext{sqrt}(x)-4}{3}$
- $f^{-1}(x) = rac{ ext{sqrt}(x)+4}{3}$
- $f^{-1}(x) = rac{ ext{sqrt}(x-4)}{3}$ (correct)
- $f^{-1}(x) = rac{ ext{sqrt}(x+4)}{3}$
For the function $g(x) = 2x^3 - 5$, what is the value of $g^{-1}(8)$?
For the function $g(x) = 2x^3 - 5$, what is the value of $g^{-1}(8)$?
- $g^{-1}(8) = 1$
- $g^{-1}(8) = 3$ (correct)
- $g^{-1}(8) = 4$
- $g^{-1}(8) = 2$
If $h(x) = rac{2x+1}{3}$, what is the inverse function of $h$?
If $h(x) = rac{2x+1}{3}$, what is the inverse function of $h$?
- $h^{-1}(x) = rac{3x-1}{2x}$
- $h^{-1}(x) = 3x-1$
- $h^{-1}(x) = 3x+1$
- $h^{-1}(x) = rac{3x-1}{2}$ (correct)
