Question

G(x)=√(4-x)
Evaluate the function :
G(4x-x^2 )
help guys

Answer 1

guys help

Answer 2

cant sorry a little advanced.

Answer 3

@hartnn

Answer 4

just put '4x-x^2' in place of 'x' in G(x)
what u get ?

Answer 5

\[\sqrt{4-(4x-x^2)}\]

Answer 6

correct, now simplify the quantity under sqrt sign....
and note that you get a perfect square inside!

Answer 7

yeah like this \[\sqrt{4-4x+x^2}\]
after that I don't know

Answer 8

ok,
so lets try to factor x^2-4x+4
tell me 2 numbers whose sum is -4 and product =4 ?

Answer 9

you mean like this
(x-2)(x-2)

Answer 10

absolutely!
thats \(\Large (x-2)^2\)

Answer 11

so, \(\Large \sqrt{a^2}=|a|\)
what about \(\Large \sqrt{(x-2)^2}=... ?\)

Answer 12

x-2

Answer 13

yes, more precisely its \(\Large |x-2|\).
:)

Answer 14

ok :D

Answer 15

and this is the final answer

Answer 16

yup

Answer 17

G(4x-x^2 ) = |x-2|

Answer 18

sir I have another one I'm just stuck in math method would you mind helping me sir