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.
The asnwer should be P^m-n
Answer:
Horizontal lines have no vertical change -- it continues straight left or right. In other words, the change in the y values between any points on the graph is 0, since there is no change. This means that the slope of a horizontal line is 0
Step-by-step explanation:
hope this helps
Answer:
Hello! answer: 17
Step-by-step explanation:
Assuming this is the Pythagorean theorem our formula would be
a^2 + b^2 = c^2
meaning both of those sides multiplied by themselves added together will equal a number which is the result of c multiplied byitself sorry it sounds confused but...
15 × 15 = 225 8 × 8 = 64 225 + 64 = 289
the square root or the (number multiplied byitself that equals 289) is 17 because
17 × 17 = 289 so × = 17 I hope that helps!
