Find the minimum of a function containing the norm of another function

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This is my first post here, I've been struggling with a problem for maths course, and would appreciate any guidelines on how to start tackling it (not asking for the answer, just some guidelines on how to begin).

$$ \min_{\mathbf{x}} \phi(\mathbf{x}) = \frac{1}{2} ||g(\mathbf{x}) - b||^2 $$

And they also tell me that the Jacobian of $g(\mathbf{x}) = A$. There's no other additional information, so I'm assuming that the domains and codomains are $\mathbb{R}^n$

Really would appreciate any tips on how to begin!

Thanks in advance.