Which pair of funtions is not a pair of inverse functions?

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

case A)

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

case B)

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

case C)

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

case D)

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

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !

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