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

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.