Suppose a function f has an inverse. If f(2)=6 and f(3)=7, find: f−1(6)

Step-by-step explanation:

Given

Required

First, we need to determine the slope of the function using;

From the given parameters;

In

x = 2; y =6 --- Take this as x1 and y1

In

x = 3; y = 7 --- Take this as x2 and y2

becomes

Next, we determine the equation of the function using

Substitute the values of x1,y1 and m

Open bracket

Add 6 to both sides

Next is to determine the inverse function by swapping the positions of x and y

Make y the subject of formula;

Replace y with

Now, we can solve for

Substitute 6 for x

what is the answer to this

i think the answer would be c