Which two functions are inverses of each other? a. f(x) = x, g(x) = –x b. f(x) = 2x, g(x) = -1/2x c. f(x) = 4x, g(x) = 1/4x d. f(x) = –8x, g(x) = 8x

The correct option is C)

Step-by-step explanation:

We need to find out the pair of functions which are inverse of each other

A)

  Since,

   and      

So, these are not inverse of each others

B)

  Since,

   and      

So, these are not inverse of each others

C)

  Since,

   and      

So, these are inverse of each others

D)

  Since,

   and      

So, these are not inverse of each others

Therefore the correct option is C)

the answer to the expression is 83

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15