18765759120cham 18765759120cham
  • 14-02-2018
  • Mathematics
contestada

Write the inverse of f(x)=1\9(x-4)^2

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 11-07-2018
f(x) does not pass the horizontal line test, so its inverse is not a function.

Write it as y = f(x), then interchange variables and solve for y.
  y = (1/9)(x - 4)²
  x = (1/9)(y - 4)²
  9x = (y - 4)²
  ±3√x = y - 4
  y = 4 ± 3√x

f⁻¹(x) = 4 ± 3√x
Ver imagen sqdancefan
Answer Link

Otras preguntas

there is a skating rink in your city that is open to anybody to use at any time, but can only fit so many people at once. they even provide skates for people wh
How can the power crisis be resolved​
what is the difference between the way ralph feels about what he is doing and the way jack feels about what he is doing?
Lucy is considering a 5/1 ARM. What does the 5 represent? OA. Her monthly payment B. The total number of years of the loan C. The number of years between adjust
What are three reasons the Soviet Union had the most casualties in world war 2?
order the following choices to test your understanding of the mechanism of action of allergy shots.
What is the tendency of parents to over exaggerate the differences between their children?
help pleaseeeeeeeeeeee​
true or false: the small intestine begins with the duodenum, which is its longest segment.
you need to predict future behavior based on previous actions. which product option should let you select as a candidate