- #1
songoku
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- Homework Statement
- Let ##f(x)=x^4+0.2x^3-5.8x^2-x+4, 0 \leq x \leq 1.67## and ##g(x)=2 \sin(x-1) -3 , -\frac{\pi}{2}+1 \leq x \leq \frac{\pi}{2}+1##
(i) Find ##f^{-1} (x)##
(ii) Solve ##(f^{-1} o~ g)(x) < 1##
- Relevant Equations
- Inverse and composite function
I can solve (i), I got x = -1.6
For (ii), I did like this:
$$(f^{-1} o ~g)(x)<1$$
$$g(x)<f(1)$$
But it is wrong, the correct one should be ##g(x) > f(1)##. Why?
Thanks
For (ii), I did like this:
$$(f^{-1} o ~g)(x)<1$$
$$g(x)<f(1)$$
But it is wrong, the correct one should be ##g(x) > f(1)##. Why?
Thanks