The graphs $$ f(x)=4 x $$ and $$ g(x)=4^{x} $$ intersect at $$ x=\frac{1}{2} $$ and $$ x=1 $$. Select all of the intervals of $$ x $$ for which $$ g(x)f(x) $$. $$ \square $$ A. $$ (-\infty, \infty) $$ $$ \square $$ B. $$ \left(-\infty, \frac{1}{2}\right) $$ $$ \square $$ C. $$ (-\infty, 1) $$ $$ \square $$ D. $$ \left(\frac{1}{2}, 1\right) $$ $$ \square $$ E. $$ \left(\frac{1}{2}, \infty\right) $$ F. $$ (1, \infty) $$

Question

The graphs $$ f(x)=4 x $$ and $$ g(x)=4^{x} $$ intersect at $$ x=\frac{1}{2} $$ and $$ x=1 $$. Select all of the intervals of $$ x $$ for which $$ g(x)>f(x) $$. $$ \square $$ A. $$ (-\infty, \infty) $$ $$ \square $$ B. $$ \left(-\infty, \frac{1}{2}\right) $$ $$ \square $$ C. $$ (-\infty, 1) $$ $$ \square $$ D. $$ \left(\frac{1}{2}, 1\right) $$ $$ \square $$ E. $$ \left(\frac{1}{2}, \infty\right) $$ F. $$ (1, \infty) $$

Luna Wang · Accepted Answer

The intervals where $$ g(x) > f(x) $$ are $$ \left(-\infty, \frac{1}{2}\right) $$, $$ \left(\frac{1}{2}, 1\right) $$, and $$ (1, \infty) $$.

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