Question

Y=f(x)=x1/5 ????????​

Answer 1

Ответ:

f(x^2) = x^2 - 1

f(x+5) = x + 5 - 1 = x + 4

f(x^2)*f(x+5) = (x^2 - 1)(x + 4) >= 0

(x - 1)(x +1)(x + 4) >= 0

[-4;-1] и [1;+бесконечность

Answer 2

The equation you've provided is:

$Y = f(x) = x^{1/5}$

This equation represents a mathematical function where $Y$ is the output (dependent variable) and $x$ is the input (independent variable). In this specific function, the input $x$ is raised to the power of $1/5$.

This function represents a fifth root, which means it finds the value that, when raised to the power of 5, equals the input $x$. In other words, it calculates the fifth root of $x$.

So, for any given value of $x$, $f(x)$ will give you the fifth root of $x$.

For example:

• If $x = 32$, then $f(32) = 32^{1/5} = 2$, because $2^5 = 32$.
• If $x = 243$, then $f(243) = 243^{1/5} = 3$, because $3^5 = 243$.

This function is a type of root function and is a basic example of non-linear functions in mathematics.