Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x
f(x)=x^2-3 g(x)=sq3+x

Question

Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x
f(x)=x^2-3   g(x)=sq3+x

anonymous · Answer

Let's do the first one f(g(x)...do you know how to do composition of functions?

anonymous · Answer

can we find the g(f(x)) first

anonymous · Answer

that the one i don't understand

anonymous · Answer

Is that$$\sqrt{3+x}$$

anonymous · Answer

yes

anonymous · Answer

So in that it is g(f(x)...we take the g(x) above and where ever we see an x we substitute the value for f(x)...so what would we end up with?

anonymous · Answer

would the answer be g(f(x))=sq root 3+(x^2-3)=sq x^2=x

anonymous · Answer

You seem to understand it quiet well..good job. So how about the other equation.

anonymous · Answer

would the other one be f(g(x))=(sq root 3+x)^2-3=(3+x)-3=x

anonymous · Answer

Winner winner chicken dinner..great job!!!!

anonymous · Answer

thank you i just wanted to make sure i did it right