Answer
$x\le\frac{7}{4}$
Work Step by Step
As $x^2+4\gt0$, we only need to worry about $4x-7\gt0$ which gives $x\gt\frac{7}{4}$. Thus any $x$ in the interval of $x\le\frac{7}{4}$ can not be a solution.
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 4 - Inverse, Exponential, and Logarithmic Functions - 4.5 Exponential and Logarithmic Equations - 4.5 Exercises - Page 469: 86
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