Question

I NEED HELP Are the two functions inverses? f ( x ) = − 8 x + 5 g ( x ) = − 1 8 x + 5 8 Group of answer choices Yes No

Answer 1

Answer: No

Explanation:

To know if the functions are inverses of each other, it is easiest to just find the inverse of one of the functions. To find the inverse, you want to replace y with x and x with y and solve for y.

y=-8x+5 [switch x with y and y with x]

x=-8y+5 [subtract both sides by 5]

x-5=-8y [divide both sides by -8]

y=(x-5)/-8

f⁻¹(x)=(x-5)/-8

Since we know that the inverse doesn't match g(x), we know that these functions are not inverses of each other.