Question

If f(x) = 4 - 2x^2 and g(x) = 2√x what is the value of f(g(x))? (The thing after the number 2 for g(x) is square root of x) A) 4-16x B) 4-8x C) 4-4x D) 4-2x E) 4-x

Answer 1

B) 4-8x

Explanation:

`f(x) = 4 - 2x^2 \\ g(x) = 2√(x) \\ f(g(x)) = ?\\First - find- g(x)\\f(2√(x) )\\4-2(2√(x))^(2) \\4-2(4x)\\4-8x\\f(g(x))= 4-8x = B`