Question

find f(g(x)) and g(f(x)) and determine whether they are inverse of each other
f(x)=3x+8 and g(x)=x-8/3

Answer 1

do you know how to find the inverse of a function?

Answer 2

i just know you switch the variables thats about it
y=3x+8
x=3y+8 im lost after that

Answer 3

f(g(x))=3(x-8/3)+8=3x-8+8=3x
g(f(x))=3x+8-8/3=3x-16/3

Answer 4

substitute g(x) instead of x in f(x) and u will get f[g(x)] = 3x
substitute f(x) instead of x in g(x) and u will get g[f(x)] = 3x - 16/3

hence f[g(x)] doesn't equal to 1/g[f(x)] they are not the inverse of each othr

Answer 5

yes they are not inverse

Answer 6

how do u get -16

Answer 7

it's -16/3 and its the result of 8-8/3

Answer 8

it's not -16
it's -16/3
and it's comes this way
g[f(x)] = f(x)-8/3
hence f(x) = 3x+8
g[f(x)] = 3x +8 -8/3
so -16/3 is the answer for 8 - 8/3