The domain for the multiplication of functions is defined as the collective set of input values which are acceptable for both functions. This can be determined by identifying the intersection of the domains of each separate function. Should any value from the domain render one function undefined, it is then removed from the domain of the product.
Topic | Problem | Solution |
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None | Given the functions \(f(x) = \sqrt{x}\) and \(g(x… | Step 1: Determine the domain of each function separately. The domain of \(f(x)\) is \(x \geq 0\) be… |
None | Find the domain of the function. \[ f(x)=x^{2}-7 … | Find the domain of the function \(f(x)=x^{2}-7 x+15\). |