Question

Can someone please help me Find functions f and g so that h(x) = (f ∘ g)(x).

Answer 1

h(x) = (6x - 14)8

Answer 2

@nincompoop @ParthKohli @iGreen

Answer 3

hi pearl nice to see you again

Answer 4

Hi :)
Did I copy this correctly
$$ \Large h(x) = (6x-14)\cdot 8 $$

Answer 5

no it ^8

Answer 6

$$\Large h(x) = (6x-14)^8$$

Answer 7

yes :)

Answer 8

the 'inner' function is y = 6x-14
the 'outer' function y = u^8

Answer 9

how do you know this out of curiosity

Answer 10

and is the answer im trying to find just the inner and outer functions or does it go more in depth

Answer 11

basically by inspection (looking at it)

Answer 12

ok

Answer 13

$$\Large h(x) = f(g(x))$$
Let the inner function be
g(x) = 6x-14
g takes x in, spits out 6x-14
then f takes 6x-14 and raises it to a power of 8
f(x) = x^8

Answer 14

that seems way to simple for pre calculus i mean theres no calculations to do or nothin?

Answer 15

the g function or machine takes x, multiplies by 6 and adds 14
the f function or machine takes whatever comes inside and raises it to power of 8

Answer 16

shouldnt it be subtracts 14 not adds

Answer 17

woops

Answer 18

what

Answer 19

typo , should be minus 14