Question

How do you solve this problem? The question is attached as an image.

Answer 1

\[g(.5)=.1,f(.1)=14.8\] so
\[f(g(.5)=14.8\]

Answer 2

\[g(.6)=.05\] but you are not told what \(f(.05)\) is so i see no way of completing this question
you need \(f(g(.6))\) and you do not know it

Answer 3

@ganeshie8 hey do you know how to solve this problem or is satellite73 right?

Answer 4

\[h(x) = f(g(x)) \implies h'(x) = f'(g(x)) \times g'(x)\]

\[ h'(.5) = f'(g(.5)) \times g'(.5) = f'(.1)\times g'(.5)\]

Answer 5

estimate \(f'(.1)\) and \(g'(.5)\)
then plug them above

Answer 6

lol wait how do you estimate?

Answer 7

okay never mind after i watched a video on it i got it

Answer 8

the answer is -17.4 thanks!