Question

show that f(x)=x^2/x^7+1 takes on the value 0.4

Answer 1

Well there is a few things you can do. The intermediate value theorem of algebra is probably what you should use here along with the fact that there is a vertical asymptote at x = -1.

Can you now think of an explanation as to why f(x) takes on the value 0.4? Note that they just want you to show that f(x) MUST take on the value 0.4 for some 'x' in the domain. No calculations are required.

@samancha85

Answer 2

got it thanks