Question

In Items 5–7, f ind the inverse of each function.
Use the definition to verify that the two functions
are inverses.

5. f (x) = 6 - 3x
6. g (x) = x + 2
7. h(x) = -x + 5

Answer 1

@Directrix @dtan5457

Answer 2

What does your book give as the definition to verify that the two functions are inverses.

Answer 3

I am still thinking about that altitude and temperature problem and what went wrong there.

Answer 4

@Firejay5 Seriously, I need the definition from your book.

Answer 5

the definition is to change the function into the inverse: http://www.purplemath.com/modules/invrsfcn3.htm

Answer 6

no it's to show you what I mean

Answer 7

5. f (x) = 6 - 3x

y = 6 - 3x
Interchange x and y

x = 6 - 3y

Okay, now solve that for y @Firejay5

Answer 8

@Directrix I got y = x - 6/ -3

Answer 9

Use grouping symbols on your answer or your answer will be misconstrued.

Answer 10

I got y = -1/3 x + 2

Answer 11

Did you finish this? @Firejay5

Answer 12

My take on this is

1.y=-3x+6
inverse (which you already did is y=(x/-3)+2

to prove they are inverses you can do (f o g)x or (g o f)x

f(x)=(x/-3)+2
g(x)=-3x+6

Let's say I do (f o g)x

f(x)=(-3x+6/-3)+2

that becomes x-2+2

which equals x.

if it equals x, it's the inverse.