watchthesky30
New member
- Joined
- Sep 15, 2009
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- 19
Can somebody please help me with these questions? It would be greatly appreciated. Thanks.
1. Recall that a function f is odd if f(-x)=-f(x) or even if f(-x)=f(x) for all real x.
a) Show that a polynomial P(x) that contains only odd powers of x is an odd function
b) Show that if a polynomial P(x) contains only even powers of x is an even function
c) Show that if a polynomial P(x) contains both odd and even powers of x, then it is neither an odd nor an even function
2.Use the inverse function property to show that f and g are inverses of each other.
f(x)=x²+1; g(x)=(x-1)^1/3
1. Recall that a function f is odd if f(-x)=-f(x) or even if f(-x)=f(x) for all real x.
a) Show that a polynomial P(x) that contains only odd powers of x is an odd function
b) Show that if a polynomial P(x) contains only even powers of x is an even function
c) Show that if a polynomial P(x) contains both odd and even powers of x, then it is neither an odd nor an even function
2.Use the inverse function property to show that f and g are inverses of each other.
f(x)=x²+1; g(x)=(x-1)^1/3