The function has an inverse that is also a function is g(x) = 2x – 3.
The correct option is A.
<h3>Inverse function;</h3>The inverse of a function is the equation where x and y have switched places.
We have to determine
Which function has an inverse that is also a function?
If when you solve for y again, the function passes the vertical line test, the inverse if a function.
1. Here g(x) = 2x - 3 has inverse x = 2y - 3 which simplifies to;
This is a line and is a function;
2. k(x) = -9x^2 has the inverse x = -9y^2 which simplifies to;
This is a function but only for certain values of x.
3. f(x) = |x+2| is an absolute value function.
All absolute value functions do not have inverses which are functions.
4. w(x) = -20 does not have an inverse which is a function.
Hence, the function has an inverse that is also a function is g(x) = 2x – 3.
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