I've been away from school recently due to a nose operation and this monster has appeared in my homework. I understand when there are two equations included, (usually g(x) and h(x). But to find the third, and from what they equal to. If someone could walk me through this I'd heavily appreciate it

f(x) = g(h(k(x))) = sin^2(6x) , determine the functions g(x), h(x) and k(x)

Guest Mar 21, 2017

#1**+1 **

One possibility is as follows:

\(k(x)=x^{1/2}\\h(x)=6x^2\\g(x)=\sin^2 x\)

Note that \(h(k(x))=6(x^{1/2})^2\rightarrow6x\)

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Alan
Mar 21, 2017