Find f^-1(x) for the following equation: f(x) = (12+x)/3

f-1(x) is equivalent to the inverse of the function f(x). To solve the inverse of a function, a series of steps must be followed:
1) Write out the equation x = f(y)
This in effect is replacing all x's of the equation with y's, and vice versa.x = (12 + y)/3
2) Rearrange the equation to make y the subject.y = 3x - 12
3) Replace y with f-1(x). This is an important final step that can easily be missed and cause loss of marks despite your ability to answer all previous parts of the question perfectly!
Final Answer =f-1(x) = 3x - 12
TIP: Always follow these series of steps for this type of question!

BW

Related Maths GCSE answers

All answers ▸

The area of a rectangle is 8cm^2. It has a length of (3x+1)cm and a width of (2x+5)cm. Work out the value of x.


Solve (x^2 - 4)/(2x+4)


Complete Question won't fit here. Please see Explanation. Thanks.


Solve the following equations x^2-2x+4=0, x^2+4x+1=0