Answer:
g(x) = x+1
Step-by-step explanation:
Informally, you can see that the function h(x) takes the root of a value that is 1 more than the value under the same radical in f(x). This suggests that adding 1 to x in f(x) will give you h(x). That is, ...
h(x) = f(x+1) = f(g(x))
so
g(x) = x+1
_____
More formally, you can apply the inverse of the function f(x) to the equation ...
h(x) = f(g(x))
f^-1(h(x)) = f^-1(f(g(x))) . . . inverse function applied
f^-1(h(x)) = g(x) . . . . . . . . . simplified
Now f^-1(x) can be found by solving for y in ...
x = f(y)
x = ∛(y+2) . . . . . . . . . definition of f(y)
x^3 = y+2 . . . . . . . . . cube both sides
x^3 -2 = y = f^-1(x) . . . subtract 2 from both sides
So, f^-1(h(x)) is ...
f^-1(h(x)) = g(x) = (∛(x+3))^3 -2 = x+3 -2
g(x) = x+1
Answer:
good job that is correct
Step-by-step explanation:
goooooooooooooooooooooooood joooooooooooooooob
yep
Answer:
-6-8x
Step-by-step explanation:
distribute and multiply
Answer:24ounces
Step-by-step explanation:
Multiply 20 ounces by .20 (The percent) then add your answer to the 20 ounces.
Answer:
5
Step-by-step explanation:
move the terms 6x-4=16+2x
collect like terms 6x-2x=16+4
divide both sides 4x=20
x=5
