Posted by **Nicholas Lim** on Saturday, January 23, 2010 at 5:32am.

Given f(x)=2-3x and g(x)=hx+k where h and k are constants.If gf(-1)=6 and g^-1(4)=g(4),find the possible values of h and k?

- math -
**drwls**, Saturday, January 23, 2010 at 7:57am
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

## Answer This Question

## Related Questions

- math-functions - Given g(x)=px+q where p and q are constants.If g^2(x)=16x+15 ...
- chemistry - The skeletal structures of the two amino acids, glycine and lysine, ...
- calculus - Given the function h : x -> 3x + c and h^-1 : x -> cx/m - 1, ...
- Math - The variables x and y are related by the equation y=ax/(x-b),where a and ...
- Chemistry - Given the following equilibrium constants are given at 377°C, 1/2 N2...
- CORE MATHS - The first two terms in the expansion of (1+ax/2)^10 + (1+bx)^10 in ...
- physics - 1.The potiential energy of a particle varies with distance x from a ...
- add maths - Functions f and g are defined by f:x→ax-b,where a and b are ...
- Math - Let f(x)=2x^2+3px-2q and g(x)=x^2+q,where p and q are constants.It is ...
- maths - Consider the quadratic equation m^2 x^2 + 2(2m-5)x + 8 = 0 a) If 2 is a ...

More Related Questions