Question

Find the following values:

(f⁻1(f(6.022)) =)
a) (6.022)
b) (-10)
c) (f⁻1(-10)+f(-6))
d) (f(6.022)+f⁻1(-6))

Answer 1

The values of f^-1(f(6.022)) are:

a) 6.022 b) -10 c) -6 d) 12.044

Step-by-step explanation:

To find the values of f^-1(f(6.022)), we need to first determine what function f is. Since the question asks for the inverse of f(6.022), we can assume that f is a function that takes a value of 6.022 as input and returns a value as output.

From the given options, we see that f(6.022) = -10, so f is a function that maps 6.022 to -10. To find the inverse of this function, we can use the inverse function formula:

f^-1(x) = y if and only if f(y) = x

Since f(6.022) = -10, we can set up the equation:

f^-1(-10) = y

Solving for y, we get:

y = -6

Therefore, the value of f^-1(-10) is -6.

Now, we can find the value of f^-1(6.022) by substituting 6.022 into the equation:

f^-1(6.022) = y

Solving for y, we get:

y = 12.044

Therefore, the value of f^-1(6.022) is 12.044.