Inverse functions are usually denoted as g(x) and h(x), where g(x) is the original equation and h(x) is the corresponding inverse function. You can determine if the equations are inverse of each other if a certain point (a,b) on g(x) is on h(x) as point (b,a). So, there is a pattern wherein the x and y coordinates interchange with each other. Also, you could see it visually when you graph both equations. They are mirror images of each other about line y=x or a 45° line.
One way to solve if the equations are inverse of each other is if they meet this condition:
g( h(x) ) = h( g(x) )
Suppose g(x) = 3x + 7. To find its inverse, change g(x) to y first so as not to confuse you:
y = 3x + 7
Next, interchange y and x variables
x = 3y + 7
Isolate y on one side and x on the other:
y = (x - 7)/3 = h(x)
That is the inverse equation for g(x) denoted as h(x). To check, let's verify the condition:
g((x - 7)/3) = h(3x + 7)
3(x - 7)/3) + 7 ? ((3x + 7 - 7)/3
x - 7 + 7 ? 3x/3
x = x
Therefore, g(x) and h(x) are indeed inverse functions of each other.
Answer:
7, 2, and 1
Step-by-step explanation:
Answer:
314 inches²
Step-by-step explanation:
area = pi × r²
= 3.14 × 10²
= 314 inches²
Answer:
360 = x + 30
x = 390 meters
Step-by-step explanation:
Answer:
Step-by-step explanation:
If each day equal chance then p = Prob that a person is borne on a particular day = 1/365
Each person is independent of the other and there are two outcomes either borne in July or not
p = prob for one person not borne in July = (365-31)/365 = 334/365
a)Hence prob that no one from n people borne in July = 
b) p = prob of any one borne in July or Aug = 
=0.1698
X- no of people borne in July or Aug
n =15
P(X>=2) =
=0.7505
