SOLUTION: Find the inverse of the following functions
a) f(x) = (x-6) divided by 4
b) f(x) = (2x-1 divided by x-3 ) x>3.
Algebra.Com
Question 551154: Find the inverse of the following functions
a) f(x) = (x-6) divided by 4
b) f(x) = (2x-1 divided by x-3 ) x>3.
Answer by mathstutor458(57) (Show Source): You can put this solution on YOUR website!
a) f(x) = (x-6) divided by 4
let the f(x)=y
y=(x-6)/4
4y=x-6
4y+6=x
Therefore the inverse function is 4x+6 (put x instead of y in 4y+6)
b) f(x) = (2x-1 divided by x-3 ) x>3.
let the f(x)=y
y=(2x-1)/(x-3)
y*(x-3)=2x-1
xy-3y=2x-1
xy-2x=3y-1
x(y-2)=3y-1
x=(3y-1)/(y-2)
Therefore the inverse function is (3x-1)/(x-2) (put x instead of y in(3y-1)/(y-2))
RELATED QUESTIONS
find the inverse of following functions:
(a) f(x)=(x^3 + 5)/(x-3) , x≠3... (answered by jsmallt9)
when a polynomial f(x) is divided by (x-3) the remainder is -9 and when divided by... (answered by robertb)
When a polynomial f(x) is divided by x-3 the remainder is -9 and when divided by 2x-1 the (answered by MathLover1,ikleyn)
If f(x)=ax^4 +bx^3 -x^2 +2x +3 has a remainder 11 when divided by x-2and has a remainder... (answered by josgarithmetic)
Find the inverse of the following functions:
a) g(x)=(2x-3) / (4+x)
b) f(x)= sqrt (answered by Boreal)
a polynomial f(x) with rational coefficients leaves remainder 15 when divided by x-3 and... (answered by KMST)
find the inverse of the following functions:
1) f(x)=2x+1
2)... (answered by Nate)
The function f is given by f(x)=x^3+2x^2+ax-8 where a is constant.when f(x) is divided... (answered by ikleyn,MathLover1,MathTherapy)
What is the inverse of 6 divided by... (answered by checkley77)