# SOLUTION: The function f is defined by f(x)=x^3 - 4x. The function of g is defined by g(x)=f(x+h)+k where h and k are constants. What is the value of hk? Points for y=f(x)are (-1,3),

Algebra ->  Algebra  -> College  -> Linear Algebra -> SOLUTION: The function f is defined by f(x)=x^3 - 4x. The function of g is defined by g(x)=f(x+h)+k where h and k are constants. What is the value of hk? Points for y=f(x)are (-1,3),      Log On

 Algebra: Linear Algebra (NOT Linear Equations) Solvers Lessons Answers archive Quiz In Depth

 Question 470687: The function f is defined by f(x)=x^3 - 4x. The function of g is defined by g(x)=f(x+h)+k where h and k are constants. What is the value of hk? Points for y=f(x)are (-1,3), (1,-3) Points for y=g(x) are (2,1), (4,-5) The answer is 6, but I do not understand how they came up with this answer. Please help!Answer by MathLover1(6638)   (Show Source): You can put this solution on YOUR website! First and , and or Looks to me like we have two equations for which means we can solve them as a system. Notice that contains but with a different input variable, namely . To find we replace with wherever we find an in the equation. will become So now we replace in with our new result. Also, we are given a pair of points that work with so lets plot them in and get a pair of equations. The first number in each point is and the second is . Points in g(x) : (, ) and (, ) So for the first : and for the second : Notice that both long equations are equal to . That means they are also equal to each other. So is , now we need . So is . We already know that is . so :