I am stuck on this problem. Let f(x)=sqrt(1-x) and g(x)=sqrt(x-1). Determine (fog)(x). Thanks for the help
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Originally Posted by Mortifix I am stuck on this problem. Let f(x)=sqrt(1-x) and g(x)=sqrt(x-1). Determine (fog)(x). Thanks for the help $\displaystyle (f \circ g)(x)$ means $\displaystyle f(g(x))$. that is, you plug in the function g for x in the function f. so, $\displaystyle f(g(x)) = \sqrt{1 - (g(x))} = \cdots $ ?
So $\displaystyle f(g(x)) = \sqrt{1 - \sqrt{x-1}} = $?
Originally Posted by Mortifix So $\displaystyle f(g(x)) = \sqrt{1 - \sqrt{x-1}} = $? yes
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