Question

Which function is the inverse f(x)=-5x-4

Answer 1

`f^(-1)(x)=`=
`-(x+4)/(5)`

Explanation:

In order to find the inverse of a function ,we need to follow the some steps

Step1: taking f(x) = y

y= -5x-4

Step2: Interchange x and y

x= -5y-4

Step3: Solving equation for y,we get

Adding 4 both sides

-5y = x+4

Divide by -5 both sides

`y=-(x+4)/(5)`

or

`f^(-1)(x)=`=
`-(x+4)/(5)`

Answer 2

f⁻¹(x) = -(x+4) / 5

Explanation:

Given function is :

f(x) = -5x-4

We have to find the inverse of given function.

Step 1. Put y = f(x) in given function

y = -5x-4

Step 2. Add 4 to both sides of above equation

y+4= -5x-4+4

y+4 = -5x

Step 3.Divide by -5 to both sides of above equation

y+4 / (-5) = -5x / (-5)

-(y+4) / 5 = x

Step 4 . Swap sides

x = -(y+4) / 5

Step 5. Put x = f⁻¹(y) in above equation

f⁻¹(y) = -(y+4) / 5

Step 6. replace y with x

f⁻¹(x) = -(x+4) / 5 which is the inverse of f(x) = -5x-4.