Posted by Nicholas Lim on Saturday, January 23, 2010 at 5:32am.
First write expressions for gf(x) and g^-1(x) in terms of h and k.
Then write equations for gf(-1) and g^(-1)(4)
This will leave you with two equations that involve only h and k.
Solve them simultaneously.
For starters,
gf(x) = h(2-3x) + k = 2h -3hx + k
gf(-1) = 2h + 3h + k = 5h + k
Now compute the inverse function of g and complete the solution.
See if you get
g^-1(x) = [(x-k)/h] + k
Related Questions
MATHS! - Kinda lost with this one Given that hx^3 - 12x^2 - x + 3=(2x-1) (2x+1...
math-functions - Given g(x)=px+q where p and q are constants.If g^2(x)=16x+15 ...
Mathematics - Kinda lost with this one Given that hx^3 - 12x^2 - x + 3=(2x-1) (...
calculus - Given the function h : x -> 3x + c and h^-1 : x -> cx/m...
math(please help urgent) - 1) Find the values (if possible) of the six ...
math - find the constants a, b and c such that or all values of x, 3x^2 - 5x + 1...
math - find the constants a, b and c such that or all values of x, 3x^2 - 5x + 1...
math - 1. state the domain of f(x)= x-2/x^2-x-6 2. given that f(x)=x^2+1 and g(x...
chemistry - Calculate values of for the following sparingly soluble solutes. ...
physics - 1.The potiential energy of a particle varies with distance x from a ...
For Further Reading
