Let f(x) = x^{2} 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(x^{2})]

As x = 1,

f[f(2) + g(1)]

= f[2^{2} + 2(1)]

= f[6]

= 6^{2}

= 36

**The correct option is C.**

Let f(x) = x^{2} 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

f[f(2x) + g(x^{2})]

As x = 1,

f[f(2) + g(1)]

= f[2^{2} + 2(1)]

= f[6]

= 6^{2}

= 36

**The correct option is C.**