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:
2/9
Step-by-step explanation:
Total outcome = 36
Sum of 7 = 6
Prob of sum of 7 = 6/36
Sum of 11 = 2
Prob of sum of 11 = 2/36
Prob of sum of 7 or 11 = 6/36+2/36
Prob of sum of 7 or 11 = (6+2)/36
Prob of sum of 7 or 11 = 8/36 = 2/9
The answer is D. 3.3x2 and 2.75x2 then add the answers together.
Answer:
12
Step-by-step explanation:
64+52=118 studied in the cafeteria or lounge
but 20 studied in both, so 118-20 = 98 studied there in total
110 -98 = 12
The answer to your problem is 11
