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The domain of the function $\mathrm{f}(\mathrm{x})$ is $[-2,14]$ and the range is $(-\infty, 19]$. Using interval notation find the domain and range of $g(x)=f(-x)$.
Answer Attempt 1 out of 3
Domain: $\square$ Range: $\square$

Studdy Solution
The range of $f(x)$ is given as $(-\infty, 19]$. The transformation $g(x) = f(-x)$ does not affect the range because it is a horizontal reflection. Therefore, the range remains the same:
$$(-\infty, 19]$$
The domain of $g(x) = f(-x)$ is $[-14, 2]$ and the range is $(- \infty, 19]$.
Domain: $[-14, 2]$ Range: $(- \infty, 19]$