MHB Equation for the horizontal asymptote.

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How would you find the equation for the horizontal asymptote of the following exponential function?:
$$g(x) = -2f(2x - 6)$$

Let $$f(x) = 4^x$$
 
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I would begin by looking at the horizontal asymptote of $f$...can you see what this is?
 

Thread 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
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