11TH•Mathematics•Functions And Graphs•Question 9

Solution — Question 9

Consider the function $f:\mathbb{R}^+\to\mathbb{R}^+$ defined by $f(x)=e^x$. Show that $f$ is bijective.

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Consider the function:

f : \mathbb{R}^+ \to \mathbb{R}^+, \quad f(x) = e^x

where $\mathbb{R}^+ = (0, \infty)$ is the set of strictly positive real numbers.

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