Let g(x)=x2+2, for all real x, and fg(x)=3x4+12x2+5. Find f(u) for every value of u determined by th

Question

Let g(x)=x2+2, for all real x, and fg(x)=3x4+12x2+5. Find f(u) for every value of u determined by this information. State whether f(1) is determined, with a reason.

Accepted Answer

$\mathrm f(u)=3u^2-7$ for $u\ge2$; $\mathrm f(1)$ is undetermined.

The determined part of an outer rule

The determined part of an outer rule

Solution:

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