The codomain of the function [tex]g(x) = 2x^2 + 4x - 1[/tex] is [tex]g(x) = 2x^2 + 4x - 1[/tex]
How to determine the codomain of the function?
The equation of the function is given as:
[tex]g(x) = 2x^2 + 4x - 1[/tex]
The above function is a quadratic function and it has the following features:
Domain = [tex](-\infty, \infty)[/tex]
Range: [tex][-3, \infty)[/tex]
When the range and the domain are combined, we have:
[tex][-3, \infty)\ and\ (-\infty, \infty)[/tex]
This gives
[tex][-3, \infty[[/tex]
Hence, the codomain of the function [tex]g(x) = 2x^2 + 4x - 1[/tex] is [tex]g(x) = 2x^2 + 4x - 1[/tex]
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