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.
N.linear! hope this helps!
4/5
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the probability is 7/15
Step-by-step explanation:
because there are 7 girls and 8 boys
Set equal to each other since both equal 90
5x-6y=-10x-6y
add 6y to both sides
5x=-10x
x=0
5(0)-6y=-90
-6y=90
divide by -6
y=-15
(x,y)
(0,-15)
