kurtazebidaydartanat kurtazebidaydartanat
  • 22-09-2022
  • Mathematics
contestada

Given that f(x) = |x| and g(x) = 7x - 8, calculate
(a) fo g(x)= 7x+8;-7x+8
(b) go f(x)= 7x-8
(c) fo f(x)=
(d) go g(x)= 49x-64

Given that fx x and gx 7x 8 calculate a fo gx 7x87x8 b go fx 7x8 c fo fx d go gx 49x64 class=

Respuesta :

rafikiedu14
rafikiedu14 rafikiedu14
  • 23-09-2022

fo f(x)= ||x|| = +x or -x

Given that f(x) = |x| and g(x) = 7x - 8

Therefore, if f(x) = |x| and g(x) = 7x - 8

then fo g(x) = f(g(x)) = f(7x+8) =  |7x+8|

in the above case x is replaced by 7x+8

in the same way go f(x)= g(f(x)) = g(|x|) = 7|x|+8

and go g(x) = 49x-64

so fo f(x) = f(f(x)) = f(|x|) = ||x|| = +x or -x

To learn more about functions

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