haleymaranda15
haleymaranda15 haleymaranda15
  • 15-05-2017
  • Mathematics
contestada

For the function f(x)= (8-2x)^2, find f^-1. Determine whether f^-1 is a function.

Respuesta :

NeedOfABrain
NeedOfABrain NeedOfABrain
  • 16-05-2017
no its not a function :) 

to find the inverse function first expand those brackets 

you'll get 
f(x)= x^2 - 2x^2 - 2x^2 = 4x^2 
f(x)= x^2 - 4x^2 + 4x^2 
f(x)= x^2 or y=x^2 


to find the inverse, swap x and y around. then make y the subject again 

y=x^2 
x=y^2 
Root of x=y 

now put -1 into x 

it wont work because roots cannot have negative numbers 
answer is no
Answer Link
jbslayt jbslayt
  • 27-07-2018

f­-1(x) = 8±√x/2; f­-1 is not a function, is the answer

Answer Link

Otras preguntas

Have have the oceans and seas surrounding North Africa and Southwest Asia benefited the region?
where the sun's energy is produced
Mark the statement if it accurately describes one of the steps taken to transform Paris. A. The wealthy people moved out to the suburbs. B. Broad boulevards
Write an algebraic expression for the phrase:six times a length w
Please help ! One pound of shrimp costs $6.00. How much does 7/8 pound of shrimp cost?
What is 2.06% written as a decimal ?
Write a function for the area A of a square given the perimeter P of the square.
What are some suffixes that can be added to manipulate?
which number is between 5/2 and the square root of 11
is 1/3 bigger than 5/6