If f(x)= -6x+8, then f^-1(x)=
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given the function:
f(x) = -6x + 8
Determine f^-1(x)
Solution:
f^-1(x) means the inverse of a function, and it can be solved by substituting f(x) with y, then interchange x and y.
f(x) = -6x + 8
y = -6x + 8
x = -6y + 8
Now we need to solve for the value of y. This can be done by transposing 8 on the other side of the equation, note that when transposing a number, the sign changes.
-6y = x - 8
Divide both sides by -6 in order to get the value of y.
y = (x - 8) / -6
Final answer:
y = (x - 8) / -6