Question

if f and g are two functions from r to r defined as f( x) = |x| - x and g( x)= |x| - xthen fog (x) for x <0is​
a)4x
b)2x
c)0
d)-4x

Answer 1

Answer:

Please see the attachment

Answer 2

f and g are two functions from r to r defined as f( x) = |x| - x and g( x)= |x| - x  for x <0

From given, we have,

f( x) = |x| - x

for x <0

we have,

f (x) = -x - x

∴ f(x) = - 2x

g( x)= |x| - x

for x <0

we have,

g (x) = -x - x

∴ g(x) = - 2x

fog (x) = f (g(x)

= f(- 2x)

= -2 (-2x)

= 4x

∴ fog (x) for x < 0 = 4x.

Option (a) is correct.