Question

Consider the function f (x) = 1/3 x +2?

Answer 1

a. Find the inverse of f(x) and name it g(x).


b. Use function composition to show that f(x) and g(x) are inverses of each other.


c. Draw the graphs of f(x) and g(x) on the same coordinate plane. Explain how your graph shows that the functions are inverses of each other.

Answer 2

I need help on graphing please

Answer 3

\[f(x)=\frac{ 1 }{ 3}x+2\]

Answer 4

yes

Answer 5

is that set a?

Answer 6

my bad that looks confusing lol

Answer 7

its ok :)

Answer 8

put x on the side where y is usually is and put "y" as "x"

\[x=\frac{ 1 }{ 3 }y+2\] Isolate for y.

and let y be g(x)

Answer 9

ok

Answer 10

and yea that if for question a)

Answer 11

ok, thank you. What about b and c?

Answer 12

I just find this reallly confusing

Answer 13

for b just find 3 distinct point from each functions. and if the points you find that for f(x)=(x,y) and then for g(x)=(y,x). Notice the for g(x) the co-ordinates are switched around. Use this site to graph both of the functions https://www.desmos.com/calculator you'll see it better on a graph.

Answer 14

What do I put in? In the graph website

Answer 15

put in the equation 1/3x+2 and then the inverse of that

Answer 16

so 2+x/6?

Answer 17

notice for the f(x) one point is (2.0) and then on graph of g(x) the point is switched around into (0,2) thats how you know the g(x) is the inverse of f(x)

Answer 18

makes sense?

Answer 19

Ohhhhhhhhhhh

Answer 20

yes thank you soo much :)

Answer 21

oh btw its not only 1 point, is all of them. all of the point are switched around for g(x)

Answer 22

its not cheating? its called using resources to help you understand better.

Answer 23

how am i giving out answers?

Answer 24

This was his first time using the grapher, so i had to help him