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Graph of f(x)
Answer the following.
Find the value of x such that g⁻¹(x) = h⁻¹(x).
Find the value of $x$ such that $g^{-1}(x) = h^{-1}(x)$.
Answer
Answer
Official answer key$g^{-1}(x) = h^{-1}(x)$ gives $\left(3 - \sqrt{x+8}\right)^2 = \left(3 + \sqrt{x+8}\right)^2$, so $-6\sqrt{x+8} = 6\sqrt{x+8}$, hence $\sqrt{x+8} = 0$.
Final answer: $x = -8$