Fand f^-1 are functions
if f(4)=2, then f^-1(2)=?

Step-by-step

f and f^(-1) are inverses of each other within a specified domain, with the property that

y=f(x)  <=> (is equivalent to)  f^(-1)(y)=x

since

2=f(4), by the definition of inverse functions, f^(-1)(2) = 4

answer: ♡♡♡♡♡♡♡♡♡♡

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is