f(x) = 1.25(38 − x),what is the inverse of the function
Mathematics · High School · Tue Nov 03 2020
Answered on
Given:
f(x) = 1.25(38 − x)
Find the inverse of the function: f^-1(x)
Solution:
Distribute first 1.25 on each value.
f(x) = 47.5 - 1.25x
To solve for the inverse of a function, we change x with y then we solve for x.
y = 47.5 - 1.25x
x = 47.5 - 1.25y
Transpose x and -1.25 y on their opposite sides. It must be taken to note that when transposing a number, the sign changes.
1.25y = 47.5 - x
Divide both sides by 1.25 in order to determine the inverse function
y = (47.5 - x) / 1.25
f^-1(x) = 38 - x/1.25