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Question

Graph f(x) 1/2+4

and its inverse. Show points please

Answer 1

The Function is F(x) = (1/2)x+4

Let us assume f(x) = y and solve x in terms of y.

y = (1/2)x + 4

Subtract 4 from each side.

y - 4 = (1/2)x

Multiply by 2 on each side.

2(y - 4) = x

Now interchange x and y.

2(x - 4) = y

Replace y by  .

The inverse of the function is 2(x-4).

Draw the table for f(x) and with different values of x.

x	-5	0	10	20
f(x)	1.5	4	9	14
	-18	-8	12	32

Graph

Draw the coordinate plane.

Plot the above table

Connect the plotted points.

Therefore the inverse of the function F(x) = (1/2)x+4 is .

Comments

Are you supposed to flip x and y on the inverse function.

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Yes, we supposed to flip x and y.

General procedure of finding inverse functions

Start with the function

Replace f(x) by y if necessary

Solve for x in terms of y.

Interchange x and y.

Replace y with f ^-1(x) if the inverse is also a function.