If function g is the inverse of function f, then what does f(g(-5)) equal?
a) 1/5
b) -1/5
c) -5
d) 5

C). -5.

Step-by-step explanation:

If g is the inverse of f then f(g(x) = x.

So f(g(-5)) = -5.

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

step-by-step explanation: