The function $g$ is defined by $g: x \mapsto x^{2} + 2x - 3, x \in \mathbb{R}, x -1$. Sketc

Question

The function $g$ is defined by $g: x \mapsto x^{2} + 2x - 3, x \in \mathbb{R}, x > -1$. Sketch the graphs of $y = \mathrm{g}(x)$ and $y = g^{-1}(x)$, indicating the relationship of the two graphs, and find the exact value of $x$ for which $\mathrm{g}(x) = g^{-1}(x)$.

Accepted Answer

$x = \displaystyle\frac{-1 + \sqrt{13}}{2}$

Functions - Sketching a Function and Its Inverse

Functions - Sketching a Function and Its Inverse

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