Multivariate functions: Basic notions
Functions and relations
In the equation \[y=\frac{11x+4z}{-8x+5z}\] you see right away that \(y\) is a function of \(x\) and \(z\).
But \(z\) is also a function of \(x\) and \(y\). What is the corresponding function rule? In other words, express \(z\) in terms of \(x\) and \(y\) and enter your answer in the form \[z=\text{ an expression in } x\text{ and }y\tiny.\]
But \(z\) is also a function of \(x\) and \(y\). What is the corresponding function rule? In other words, express \(z\) in terms of \(x\) and \(y\) and enter your answer in the form \[z=\text{ an expression in } x\text{ and }y\tiny.\]
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