Question
Identify functions $f(x), g(x)$ and $h(x)$ such that the given function equals $[f \circ(g \circ h)](x)$.$$\sqrt{e^{4 x}+1}$$
Step 1
Looking at the given function $\sqrt{e^{4 x}+1}$, the first operation that would be performed is the multiplication of $x$ by $4$. So, we can say that $h(x) = 4x$. Show more…
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In exercise identify functions $f(x), g(x)$ and $h(x)$ sucthat the given function equals $[f \circ(g \circ h)](x)$ \sqrt{e^{4 x}+1}
Preliminaries
Transformations of Functions
Identify functions $f(x), g(x)$ and $h(x)$ such that the given function equals $[f \circ(g \circ h)](x)$. $$ \ln \sqrt{x^{2}+1} $$
Identify functions $f(x)$ and $g(x)$ such that the given function equals $(f \circ g)(x)$. $$ \sqrt{x^{4}+1} $$
Transcript
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