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
1/5 of 20 is $4. So, 20-4=$16 remaining.
3/8 of 16 is $7.50. So, 16-7.50= $8.50 remaining.
2/7 of 8.5 is $2.43. So, 8.50-2.43 is $6.07
Answer: Ken has $6.07 left after all his purchases.
Answer:
The zeros are
Step-by-step explanation:
We have been given the equation x^4-6x^2-7x-6=0
Use rational root theorem, we have
Again factor using the rational root test, we get
Using the zero product rule, we have
Therefore, the zeros are
Step-by-step explanation:
16+10+4
26+4
30
30÷(2+2)
30÷4
7 1/2
1908 Siberian Asteroid is known to be 130 feet/ 18 meters in
diameter while on the other hand Chelyabinsk Asteroid is known to be 59 feet/40
meters in diameter. To find how many times Siberian Asteroid is bigger than
Chelyabinsk Asteroid we just have to divide Siberian by Chelyabinsk here we
get:
10/59=2.2 = 1908 Siberian Asteroid is 2.2 times bigger than
Chelyabinsk Asteroid.
