The function has an inverse that is also a function is g(x) = 2x – 3.
The correct option is A.
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;
[tex]\rm y=\dfrac{(x-3)}{2}[/tex]
This is a line and is a function;
[tex]\rm y=\dfrac{1}{2}x-\dfrac{3}{2}[/tex]
2. k(x) = -9x^2 has the inverse x = -9y^2 which simplifies to;
[tex]\rm y=\sqrt{\dfrac{x}{-9}}[/tex]
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.
To know more about inverse function click the link given below.
brainly.com/question/20663378
Answer:
its A. on edge.....g(x) = 2x – 3
Step-by-step explanation:
hopes this helps yall :)))
