Question

The one-to-one functions g and h are defined as follows. g=(-1,-9),(0,6),(2,0),(3,5) h(x)=2x+13 Find the following.

g⁻¹(-8)=__

Answer 1

For the function g with given points, there is no point where the y-value is -8; hence, g⁻¹(-8) does not exist for the provided points.

Step-by-step explanation:

To find g⁻¹(-8), we need to determine the value of x for which the function g gives an output of -8. Since the function g is defined by specific points, we look for the point with a y-value of -8.

In the given function g which is defined by the points g = {(-1, -9), (0, 6), (2, 0), (3, 5)}, there is no point where y equals -8. Therefore, the inverse function g⁻¹(-8) does not exist for the provided points of g.