Answer:
Step-by-step explanation:
we know that
To find the inverse of a function, exchange variables x for y and y for x. Then clear the y-variable to get the inverse function.
we will proceed to verify each case to determine the solution of the problem
<u>case A)</u>
Find the inverse of f(x)
Let
y=f(x)
Exchange variables x for y and y for x
Isolate the variable y
Let
therefore
f(x) and g(x) are inverse functions
<u>case B)</u>
Find the inverse of f(x)
Let
y=f(x)
Exchange variables x for y and y for x
Isolate the variable y
Let
therefore
f(x) and g(x) are inverse functions
<u>case C)</u>
Find the inverse of f(x)
Let
y=f(x)
Exchange variables x for y and y for x
Isolate the variable y
fifth root both members
Let
therefore
f(x) and g(x) are inverse functions
<u>case D)</u>
Find the inverse of f(x)
Let
y=f(x)
Exchange variables x for y and y for x
Isolate the variable y
Let
therefore
f(x) and g(x) is not a pair of inverse functions