Given t(x) = x^-2 and r(x) = 42x^-4, find v such that t(v) = r(v)

Question

Given t(x) = x^-2 and r(x) = 42x^-4, find v such that t(v) = r(v)

Answer 1

Hello, Ren,

My first response was "They're equivalent when x = 0," but both functions beome undefined at that point.

I believe if we set them equal to each other and then multiply both sides by x⁴ we can get the answer.

x^-2 = 42x^-4

x⁴(x^-2 = 42x^-4)

x² = 42

x = ±42^(1/2)

Not very pretty, but the best I can do.

Bob