Choose the correct alternative in the following: If f(x) = |x – 3| and g(x) = fof(x), then for x 10, g’(x) is equal to

Question

Choose the correct alternative in the following: If f(x) = |x – 3| and g(x) = fof(x), then for x > 10, g’(x) is equal to

Philoid · Accepted Answer

= ||x – 3| – 3|

Since we have given x > 10 then |x – 3| = (x – 3)

∴ g(x) = |(x – 3) – 3| = |x – 6|

Since we have given x > 10 then |x – 6| = (x – 6)

∴ g(x) = (x – 6)