Find the domain of `f(x)=sqrt((0. 625)^(4-3x)-(1. 6)^(x(x+8)))`

Explanation

To find the domain of the function

\[ f(x) = \sqrt{(0.625)^{4 - 3x} - (1.6)^{x(x + 8)}} \]

we need to ensure that the expression inside the square root is non-negative. This means we need to solve the inequality:

\[ (0.625)^{4 - 3x} - (1.6)^{x(x + 8)} \geq 0 \]

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