Respuesta :

Range for the given Exponential function [tex]f(x) = 3(16)^{{\frac{3}{4}x}[/tex] is f(x) > 0.

the correction option is a). f(x) > 0

The function given in, the question is exponential function is given by
[tex]f(x) = 3(16)^{{\frac{3}{4}x}[/tex]  Which is an exponential function. The domain of the  give function is (-∞, ∞).

what is exponential function?

The function which is in format f(x) =  [tex]a^{x}[/tex] where, a is constant and x is variable,  the domain of this exponential function  lies   (-∞, ∞).  

the Question seems to be incomplete. And options could be
a) f(x) > 0              c) f(x) ≤ 0
b) f(x) < 0              d) f(x) ≥ 0

Simplification of the given equation
[tex]f(x) = 3(16)^{{\frac{3}{4}x}[/tex]      
[tex]f(x) = 3(2^4)^{{\frac{3}{4}x}[/tex]
[tex]f(x) = 3(8)^{x}[/tex]

clearly, the range of the exponential function is f(x) > 0.

learn more about exponential function here:
https://brainly.com/question/15352175

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