Question

Suppose a function does the following to any X you input into it

1.) Subtracts 3

2.) Multiplies by -1.3

3.) Takes the cube root

Describe what the inverse function would do.

Answer 1

inverse function will do the reverse
a) add 3
b) divide by -1.3
c) will cube it

Answer 2

Can you give an example using an equation?

Answer 3

1) subtract 3
say y=x-3
find x from this
x=y+3
replace x by y and y by x
its inverse is y=x+3
2) y= x*(-1.3)
y/(-1.3)=x
replace x by y and y by x
its inverse is y=x/(-1.3)
3)y= (x)^1/3
y^3=x
replace x by y and y by x
it's inverse is y=x^3

Answer 4

did you get it?

Answer 5

perfect thank you for clearing this up

Answer 6

Glad to help :)