I need help with the intermediate value theorem in calculus.?

Posted on 2015-09-29 07:14:00 in Math by STACY

I've been trying to solve this following problem.
Let f and g be continuous functions on the interval [?1, 1]. Assume that f is
even, g is odd, f(1) = 1, and g(1) = 2. Prove that there is a number c ? (?1, 1), such that f(c) = g(c).

What I understand is that the intermediate value theorem must be used here, but all the examples i've ever seen have actual functions with equations given where i would then use f(x)-g(x)=h(x) and then i would put in the interval and see if the value goes from negative to positive and then I would know that there is an intersecction point (f(x)=g(x).

however I dont know how to go about doing this question where the equations arent given.

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