Question

MARKING BRAINLIEST In two or more complete sentences, explain how to use ordered palrs of points in f(x) = 2x+5 and g(x) = x-5/2 to
determine if f(x) and g(x) are inverses of each other

Answer 1

Well, we know that if we have an ordered pair of points (a,b) that satisfy a function y=f(x), then the inverse function will necessarily have a set of points (b,a).

We can choose any set of point that satisfy our first function f(x). x=3 => f(3)=11 so our set of points will be (3,11). Now if g(x) is and inverse function of f(x), when we calculate g(11) it should be equal to 3. Let's see:

g(11) = (11-5)/2 = 3. It works.

We have proven that f(x) and g(x) are the inverses of each other.

Answer 2

Answer:

It is very difficult to know because you did not include the function g(x), you only gave us f(x).

Given two lists of ordered pairs [x,f(x)] and [x,g(x)]. If for every ordered pair on the f(x) list the reverse is on the g(x) list the functions are inverses.

f(0) = 5 so for (0,5) on the f(x) list then (5,0) must be on the g(x) list

f(1) = 7 so for (1,7) on the f(x) list then (7,1) must be on the g(x) list

f(2) = 9 so for (2,9) on the f(x) list then (9,2) must be on the g(x) list

So even though you didn’t list g(x), g(x) = (x/2) - 5/2