HOW THE h**l DO YOU DO THIS?? confused....MATH!! 10 POINTS!! read..........?

Question

Says:

Determine the inverse functions for the functions below. Begin by switching varaiables in the original function, then solving for the 'new' y. For each case sketch the function and its inverse.

Have no idea what this is or what to do. Please explain how u found answer. 10 Points! :)

3. y= (-1/2)x + 7

Please explain too.

10 pts.

Answer 1

Switch x and y

x=(-1/2)y+7

Now solve for this "new y"

x-7=(-1/2)y

y=(x-7)/(-1/2) = -2x+14

Answer 2

The question is all right.

The given function can be expressed as

f: x----->y

y=f(x)=-x/2+7, then

the inverse function of f is

f^(-1): x=-y/2+7=>

f^(-1): y=-2x+14, or write

f^(-1): x----->y

y=-2x+14

In graph, f & f^(-1) represents two straight lines respectively

which are symmetrical to the line y=x.

Answer 3

Switch x and y. Then solve for x as an equation.

Answer 4

When the question asks for an inverse, it literally is switching the x and y variables.  So the new equation you need to solve for is:

x = (-1/2)y + 7

Put y onto one side to make it into a new equation:

x - 7 = (-1/2)y

y = -2x + 14

Now sketch on a graph both the old equation and this new equation.  Both are linear equations, so it should be fairly simple to graph.

Answer 5

Here's a good explanation:

http://www.mathclues.com/ModuleFindAnInv...

Hope this helps you!  Please email anytime for further questions.