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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.
To know more about inverse function click the link given below.
Answer:
16c² + 32cd + 16d²
Step-by-step explanation:
A polynomial is an expression consisting of variables and coefficients. For example, is an example of a cubic polynomial.
Area of a square = side length x side length
Therefore, given the side length of this square is 4c + 4d, then the area can be expressed as:
area = (4c + 4d) x (4c x 4d) = (4c + 4d)²
If we expand the brackets we get:
area = 16c² + 32cd + 16d²