SOLUTION: . Let f(x) = 2x^2 + nx - 6 and g(x) = mx^2 + 2x - 4. The functions are combined to form the new functions h(x) = f(x) - g(x). Points (2, 4) and (-3, 17) satisfy the new funct

Question 1162434: . Let f(x) = 2x^2 + nx - 6 and g(x) = mx^2 + 2x - 4. The functions are combined to form the new functions h(x) = f(x) - g(x). Points (2, 4) and (-3, 17) satisfy the new function. Determine the values of m and n.
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

Substitute the coordinates of the known points to get two equations in m and n.

Simplify the two linear equations in m and n and solve by your favorite method....

RELATED QUESTIONS
Use the functions f(x) = 2x +7, g(x) = x squared + 3x, and h(x) = 1/x-7 to find each of... (answered by funmath)

Given the functions f(x)=2x-4, g(x)= √x, and h(x)=x^2+9, calculate each of the... (answered by DrBeeee)

are the two functions inverses f(x)=-2x+12 and g(x)=-(x/2)+6 (answered by ikleyn)

State whether the functions f and g are equal f(x)= 2x^2 + x/x;g(x)=2x+1 (answered by jim_thompson5910)

3. If f(x)=square root 2x^2-1 and g(x)=x^1/2, find (and simplify) a) (f+g)(x) b)... (answered by CPhill)

If f(x)= square root 2x^2-1 and g(x)=x^1/2, find and simplify a) (f+g)(x) b) (f-g)(x) (answered by Alan3354)

FOR THE INDICATED FUNCTIONS F AND G,FIND FUNCTIONS F0G AND G0F, FIND THE DOMAINS.... (answered by Theo)

Please help me to find the following functions. Let f(x)=x=4 and g(x) =x^2+8x-3 a.... (answered by solver91311)

For the pair of functions, find (f-g)(x) f(x)=8x-2,... (answered by jim_thompson5910)