Question

f(x) = 4x-8 g(x) = x+4 / 8

find f(g(x)) and g(f(x)) and if they are inverses of each other

Answer 1

my answers are \[x-12\div2 \] and \[x-1\div2\] and they are not inverses of each other. correct?

Answer 2

answers are correct but they are not inverses of each other

Answer 3

lets find inverse of y=(x-12)/2

Answer 4

swap the x and y and solve for y
what will u get?

Answer 5

i dont need to find the inverses, just needed to know that they werent. but thank you

Answer 6

ok

Answer 7

heres another one though, one sec

Answer 8

f(g(x))=(x-12)/2
g(f(x))=(x-1)/2 and
\[f^(-1)(x)=(x+8)/4\] \[g ^{-1}(x)=8x-4\] so these functions not inverses each others

Answer 9

starts at 5, highest point is 3 cross y acis at 2 and crosses x axis again at -2