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
d = b - 3 / 10
Step-by-step explanation:
b = 10d + 3
- Place +3 in the other side of the equal sign
- + 3 becomes - 3
- b - 3 = 10
- Divide both sides by 10 to make d the subject
- b - 3 / 10 = 10d / 10
- d = b - 3 / 10
Answer:
4x^2+11x+23 r53
Step-by-step explanation:
4x^3-3x^2+x+7 / x-2
2 | 4 -3 1 7
8 22 46
___________
4 11 23 53
This means 4x^2+11x+23 with a remainder of 53
Slope is the change in Y ( vertical) over the change in X( horizontal).
The slope would be -2 /3
You would multiply the horizontal distance by the slope:
-2/3 x 12 = -8
The answer would be D. v(h)=-2/3h, and the vertical distance is -8 feet.
★ Inequalities ★
or n ∈ ( 10 , 11 )
Possible value can be easily obtained by generating an arithmetic mean
Else we've infinite numbers between them ,
According to density property of real numbers , we can have any real number satisfying the given inequality under condition 10 < n < 11
Which is true for infinite possible numbers
10.1 , 10.2 , ... INFINITY
