Dedeee Dedeee
  • 23-07-2014
  • Mathematics
Answered

Given the function f(x) = 4(x+3) − 5, solve for the inverse function when x = 3

Answer :

Аноним Аноним
  • 23-07-2014
f(X)=4x+12-5=4x+7
so
{f(x)-7}/4=x
now in inverse func. f(x0 is converted into x and x is converted into
f(x)^-1
so
f(x)^-1=[x-7]/4
now if x=3
f(3)^-1=[3-7]/4=-4/4=-1

Answer Link
konrad509
konrad509 konrad509
  • 23-07-2014
[tex]f(x)=4(x+3)-5\\ y=4(x+3)-5\\ y=4x+12-5\\ y=4x+7\\ 4x=y-7\\ x=\frac{1}{4}y-\frac{7}{4}\\ f^{-1}(x)=\frac{1}{4}x-\frac{7}{4}\\ f^{-1}(3)=\frac{1}{4}\cdot3-\frac{7}{4}\\ f^{-1}(3)=\frac{3}{4}-\frac{7}{4}\\ f^{-1}(3)=-\frac{4}{4}\\ f^{-1}(3)=-1[/tex]
Answer Link

Other Questions

Abraham Lincoln objected to the KansasNebraska Act because he thought the Missouri Compromise should be passed instead the act would force Northerners to track
How many letters are in the Hawaiian alphabet
Which point lies on a circle that is centered at A3 2 and passes through B1 3 C1 2 D6 3 E3 3 F2 6
Anna waters her plants with salty water to help them grow better Is her thinking correct
How do you find the missing measurement for a parallelogram A34in b17in h
Analyze the extent to which the 1920s and 1950s were similar in TWO of the following areas Impact of technology Intolerant attitudes Literary developments
what is 0326 written in word form amp expanded form
what happens when an object accelerates
fill in the missing numbers 5554 5274 4994 4714
what solid figure has 4 faces 6 vertices