HARD Math Question -- I can't figure out!!

Test Preparation
1

<p>This is a Math IC/IIC style math question. It says:</p>

<p>if f(x) = 1-x and g(x) = 2(x^2)-3</p>

<p>then</p>

<p>[f(g(11) + g(f(11)]/[f(1)+g(1)] </p>

<p>=</p>

<p>a. 0
b. 1
c. -1
d. -2
e. undefined</p>

<p>The answer is b. 1.</p>

<p>How on earth do you get that? I'm not getting anything near 1, and the only answer I can rule out is E. Please help! Thanks!!</p>

2

<p>..............which book is this from?</p>

3

<p>None. It's from my AP Calculus class, but it looks like a Math IIC problem to me.</p>

<p>...You don't need calculus to solve this... do you?</p>

4

<p>Are there supposed to be more parenthesis? Even so, something is wrong.</p>

5

<p>***?!</p>

<p>What's that gotta do with anything?</p>

6

<p>Looks like a typo, I think the question meant
'What is [f(g(1)) + g(f(1))]/[f(1)+g(1)] ?'</p>

<p>if f(x) = 1-x and g(x) = 2(x^2)-3</p>

<p>then f(1)=0, g(1)= -1, f(g(1))=f(-1)=2, g(f(1))=g(0)=-3
and [f(g(1) + g(f(1)]/[f(1)+g(1)] = [2 -3]/[ 0 - 1] = -1/-1 = 1</p>

7

<p>Cool...I calculated with the original question and got 41 :p</p>