Answer:
1/x+2
Step-by-step explanation:
To find the inverse of the function, try switching the x value with the y value or function value
something like: x=1/g(x)-2
then, just manipulate the equation so that g(x) is by itself again, but this time, since it is an inverse, it's denoted as g-1(x)
x=1/g-1(x)-2
x+2=1/g-1(x)
(g-1(x))(x+2)=1
g-1(x)=1/(x+2)
Answer:
Option D: 1/3
Step-by-step explanation:
Let
x ------> the entire Stefanie's allowance
we know that
She spends on clothes (1/2)x
She spends on movies (1/6)x
To find out how much more does she spend on clothes that he does on movies, subtract the amount she spends on movies from the amount she spend on clothes

Simplify

therefore
She spends 1/3 more on clothes that he does on movies
Step-by-step explanation:
h(x) = 3. g(x) + 5
x= -1 h(x) = 3×8 + 5= 29
x= 0h(x) = 3×5 + 5= 20
x= 2 h(x) = 3×1 + 5= 8
x= 5 h(x) = 3×-5 + 5= -10
Answer: 31.43 cm
Step-by-step explanation:
The length of an arc is calculated using the formula:
X 2
r
where : theta is the angle in degree
r = radius
If the angle is given in Radian , the length can be calculated using the formula:
L = r∅
Since , the angle is given in degree , we will use the first formula.
L =
X 2
r
L =
X 2 X π X 15
L =
X 2 X
X 15
L = 
L = 31.42857143
L ≈ 31.43 cm