If the range of the function f(x) = -3x - 3 i | vedclass

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(A) The function is given by $f(x) = -3x - 3$. To find the domain,we set $f(x) = y$ and solve for $x$: $y = -3x - 3$ $y + 3 = -3x$ $x = \frac{y + 3}{-

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$-1$

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(A) The function is given by $f(x) = -3x - 3$. To find the domain,we set $f(x) = y$ and solve for $x$: $y = -3x - 3$ $y + 3 = -3x$ $x = \frac{y + 3}{-3} = -\frac{y}{3} - 1$. Given the range values $y \in \{3, -6, -9, -18\}$,we calculate the corresponding domain values $x$: For $y = 3$,$x = -\frac{3}{3} - 1 = -1 - 1 = -2$. For $y = -6$,$x = -\frac{-6}{3} - 1 = 2 - 1 = 1$. For $y = -9$,$x = -\frac{-9}{3} - 1 = 3 - 1 = 2$. For $y = -18$,$x = -\frac{-18}{3} - 1 = 6 - 1 = 5$. The domain is $\{-2, 1, 2, 5\}$. Comparing this with the given options,$-1$ is not in the domain.

If the range of the function $f(x) = -3x - 3$ is $\{3, -6, -9, -18\}$,then which one of the following is not in the domain of $f$?

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