If f (x) = one-ninth x minus 2, what is mc003-2.jpg?
Answers
The complete question is,
If f(x)=1/9x-2, what is f^–1(x)?
A.) f^–1(x) = 9x + 18
B.) f^-1(x)=1/9x+2
C.) f^–1(x) = 9x + 2
D.) f^-1(x)=-2x+1/9
Given,
f(x) = 1/9 x - 2
To find: f^-1(x) ⇒ inverse of f(x)
We are given with,
f(x) = 1/9 x - 2
f(x) + 2 = 1/9 x
9 [ f(x) + 2 ] = x
Now let us consider the inverse of the function,
f ^-1(x) = { 9 [ f(x) + 2 ] } ^-1
f ^-1(x) = 9 (x+2)
∴ f ^-1(x) = 9x + 18
Therefore option A is correct.
Given : f(x) = (1/9)x - 2
To find : Inverse function of f(x)
Solution:
f(x) = (1/9)x - 2
=> f(x) + 2 = (1/9)x
=> x = 9 ( f(x) + 2)
Lets replace value of x & f(x) to find inverse function
=> f⁻¹(x) = 9(x + 2)
=> f⁻¹(x) = 9x + 18
f⁻¹(x) = 9x + 18
Learn more:
https://brainly.in/question/16088329
which of the following has its inverse function one-one an onto ...
brainly.in/question/7871843
If f(x) = 7x+12, what is the inverse function of f(x) equal to ? - Brainly.in
brainly.in/question/4533699
Read more on Brainly.in - https://brainly.in/question/16088329#readmore