SOLUTION: what is the inverse of f(x)=5-2x?
Algebra.Com
Question 1188797: what is the inverse of f(x)=5-2x?
Found 3 solutions by MathLover1, Alan3354, greenestamps:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
to find the inverse of , recall that
........swap variables
........solve for
the inverse is '
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
what is the inverse of f(x)=5-2x?
-----
y = 5 - 2x
Sway the x and y
x = 5 - 2y
Solve for y.
2y = 5 - x
y = 2.5 - (x/2) is the inverse.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
For relatively simple functions like this, you can also find the inverse by using the concept that an inverse function "un-does" what the function does.
The given function does the following to the input:
(1) multiply by -2
(2) add 5
The inverse function needs to perform the opposite operations, in the opposite order:
(1) subtract 5
(2) divide by -2
The inverse function is
y=(x-5)/(-2)
or
(-1/2)x+5/2
RELATED QUESTIONS
what is the inverse of... (answered by nerdybill)
Let
f(x) = (2x + 5)/(x - 4).
If f^{-1} is the inverse of f, what is... (answered by mccravyedwin,ikleyn,greenestamps,math_tutor2020)
wuts the inverse of f ( x ) = 2x + 5
Inverse of the function is:... (answered by mshariftahir)
what is the inverse of f(x)=... (answered by tommyt3rd)
What is the inverse of:... (answered by josgarithmetic)
What is the inverse of... (answered by mathgotserved)
what is the inverse of... (answered by stanbon)
what is the inverse of... (answered by tommyt3rd)
A function is defined by f(x)= square root of (2x+5). What is f^-1(x), the inverse of... (answered by josgarithmetic)