Answer:
g(x) = 2x – 3 is the function has an inverse that is also a function.
The correct option is A.
Inverse function;
The inverse of a function is the equation where x and y have switched places.
Here g(x) = 2x - 3 has inverse x = 2y - 3 which simplifies to;
[tex]y = \frac{x-3}{2}[/tex]
[tex]y = \frac{1}{2} x - \frac{3}{2}[/tex]
k(x) = -[tex]9x^{2}[/tex] has the inverse x =[tex]-9y^{2}[/tex] which simplifies to;
[tex]y =\sqrt{ \frac{x}{-9} }[/tex]
f(x) = |x+2| is an absolute value function.
w(x) = -20 does not have an inverse which is a function.
Therefore
The function has an inverse that is also a function is g(x) = 2x – 3.
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