Question

F(x)=2x^2,g(x)=корень х+1

Answer 1

$f(x)=2x^2\ \ ,\ \ \ g(x)=\sqrt{x+1}\\\\\\1)\ \ f(g(x))=2g^2(x)=2\cdot \Big(\sqrt{x+1}\Big)^2=2\cdot (x+1)=2x+2\\\\\\2)\ \ g(f(x))=\sqrt{f(x)+1}=\sqrt{2x^2+1}$

Answer 2

It seems like you have provided two functions, F(x) = 2x^2 and g(x) = √(x + 1). These are mathematical functions that relate an input value (x) to an output value. Let me explain each function separately:

1. F(x) = 2x^2: This is a quadratic function. It takes an input value x, squares it (x^2), multiplies the result by 2, and returns that as the output. In other words, it calculates the square of the input value and then doubles the result.

2. g(x) = √(x + 1): This is a square root function. It takes an input value x, adds 1 to it (x + 1), and then calculates the square root (√) of the result. It returns the positive square root of (x + 1) as the output.

If you have any specific questions or tasks related to these functions, please let me know, and I'll be happy to assist you further.