Let f(x) = x2 and g(x) = 2x, for all real x. Then the value of f(f(g(x)) + g(f(x))) at x = 1 is
- 16
- 18
- 36
- 40
Answer
f[f(2x) + g(x2)]
As x = 1,
f[f(2) + g(1)]
= f[22 + 2(1)]
= f[6]
= 62
= 36
The correct option is C.
Let f(x) = x2 and g(x) = 2x, for all real x. Then the value of f(f(g(x)) + g(f(x))) at x = 1 is
f[f(2x) + g(x2)]
As x = 1,
f[f(2) + g(1)]
= f[22 + 2(1)]
= f[6]
= 62
= 36
The correct option is C.
