Question

the Martians ask you to explain one last thing, Ultimate Math Ambassador. Assign any number to x. Using complete sentences, explain whether f(g(x)) and g(f(x)) will always result in the same number. You will use the inverse function that you created in problem number 5 for g(x

Answer 1

i need help how to solve

Answer 2

Function: f(x) = 4x+8

Inverse: g(x) = x+8 / 4

Answer 3

@satellite73 im not trying to cheat or get answers i just need someone to show me and explain if you could please

Answer 4

if you really want english, you could say:
the first function \(f\) says take a number,
a) multiply it by 4 then
b) add 8
if you do the reverse operations in the reverse order, you get back to what you started with
the reverse operations in the reverse order would be
a) subtract 8
b) divide by 4, i.e. \(f^{-1}(x)=\frac{x-8}{4}\)

Answer 5

which, by the way, means your inverse \(g(x)\) is wrong

Answer 6

i am assuming in problem 5, which i do not see, that you were supposed to find the inverse function of \(f(x)=4x+8\) which is \(f^{-1}(x)=\frac{x-8}{4}\)

Answer 7

or as you called it "\(g(x)=\frac{x-8}{4}\)"

Answer 8

? im confused how would it be wrong i did it the way you said first and my instructor had me resub mit it as the way im showing you

Answer 9

here is number 5.

f(x) = 4x + 8

y = 4x + 8

x = 4y + 8
+8 +8

x + 8 4y
---- = ---- = y
4 4y



x+8
----- = (f-1(x)
4

Answer 10

i don't see problem 5
does it ask you to find the inverse of \(f(x)=4x+8\) ?

Answer 11

you have a mistake in your calculation
you need so SUBTRACT 8 from both is sides, not add

Answer 12

\[y=4x+8\\
x=4y+8\\
x-8=4y\\
\frac{x-8}{4}=y\]

Answer 13

the lines you wrote here
x = 4y + 8
+8 +8
are not right
you want to get \(y\) by itself, you have to subtract not add
i.e.
x = 4y + 8
-8 -8
x-8=4y

Answer 14

that makes sense

Answer 15

my teacher said it that was the correct way

Answer 16

one of two things is possible
1) you misunderstood your teacher
2) your teacher was mistaken

i won't try to guess which

Answer 17

ok so how do i do this
the Martians ask you to explain one last thing, Ultimate Math Ambassador. Assign any number to x. Using complete sentences, explain whether f(g(x)) and g(f(x)) will always result in the same number. You will use the inverse function that you created in problem number 5 for g(x

Answer 18

that is the question i answered above

Answer 19

ik but i mean liike can you do it again but explain so i can do it on my own

Answer 20

i cannot say it in other words
read my first post, see if it makes sense to you
if i write it again it will be the same

Answer 21

multiply by for in g(x) = x+8 / 4
or f(x) = 4x+8

Answer 22

by 4 *