Get detailed and accurate answers to your questions on IDNLearn.com. Our Q&A platform offers detailed and trustworthy answers to ensure you have the information you need.
Sagot :
I was just learning that in class. It doesn’t make sense
Answer:
Because f(x)=y, begin by changing f(x) to the y-value, getting y=2x-4. Because we are determining the inverse of the equation, this means that the x and y-value should be switched, getting x=2y-4. Now that we're trying to isolate y, move 4 to the other side to get x+4=2y. Divide by 2 on both sides to get y=[tex]\frac{1}{2}[/tex]x+2. Now, we substitute y for f(x), but this time we put [tex]f^{-1}[/tex](x), because it's the inverse of f(x).
Here are the steps in order:
y=2x-4
x=2y-4
x+4=2y
x/2+4/2=2y/2
y=1/2x+2
f^-1(x)=1/2x+2
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! Discover insightful answers at IDNLearn.com. We appreciate your visit and look forward to assisting you again.