jmc

Question

Here are two functions: arrayccc f(x) & = & 3x^2-2x+ 4 g(x) & = & x^2-kx-6 array If f(10) - g(10) = 10, what is the value of k?

Accepted Answer

We have that align* f(x) - g(x) &= (3x^2-2x+ 4) - (x^2-kx-6) &= 2x^2 + (k-2) x +10. align*So f(10) - g(10) = 2 10^2 + (k - 2) 10 +10 = 10. Thus -2 10^2 = (k-2) 10, and k = -18.