Question

F(x) = 1 x g(x) = x − 4 Can you evaluate (g ○ f)(0)? Explain why or why not.

Answer 1

Step-by-step explanation:

$f(x)=\dfrac{1}{x}\qquad\text{domain}:x\neq0\\\\g(x)=x-4\qquad\text{domain}:x\in\mathbb{R}\\\\(g\circ f)(x)=g\bigg(f(x)\bigg)\Rightarrow (g\circ f)(x)=\dfrac{1}{x}-4\qquad\text{domain}:\ x\neq0\\\\(g\circ f)(0)-\text{we can't calculate it because 0}\\.\qquad\qquad\text{ is not in the function domain.}\\\\\text{The expression}\ \dfrac{1}{0}\ \text{hasn't number sense}$

Answer 2

Answer:

No: heres the sample:

Step-by-step explanation:

To evaluate the composition, you need to find the value of function f first. But, f(0) is 1 over 0, and division by 0 is undefined. Therefore, you cannot find the value of the composition.

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