Question

Solve for f(g(x))
f(x) = 2x-14
g(x) = (x/2) + 7

Answer 1

f(g(x)) = 2((x/2) + 7) - 14
not sure how to distribute 2(x/2) would it just become 2x? or just x?

Answer 2

you plug g(x) everywhere where f(x) has x if it's f(g(x))

2(x/2) = x

Answer 3

ok and then positive 14 and negative 14 cancel out so f(g(x)) = x ?

Answer 4

and it also means that 0 is the only number that has to be excluded from the domain right?

Answer 5

no numbers are excluded from the domain.

a number that would be excluded from the domain if the function doesn't exist at that point. f(g(x)) = x exists for all real numbers.

Answer 6

number only excluded if it causes function to not exist at that point

Answer 7

oh ok