Answer:
g(x)=2x-3 has an inverse that is also a function.
A function has an inverse if and only if it is a one-to-one function. A one-to-one function is a function where no two elements in the range of the function have the same image. If a function is one-to-one, then it will have a unique inverse.
To find the inverse of a function, you can switch the roles of x and y and solve for y. For g(x)=2x-3, the inverse is:
y = 2x-3
x = (y+3)/2
This is the inverse of g(x), and it is also a function because it is a one-to-one mapping.
k(x) = -9x^2 and f(x) = |x+2| are not one-to-one, so they do not have inverses that are also functions.
w(x) = -20 is a constant function, so it is not one-to-one and does not have an inverse that is a function.