Answer:
[tex]f^{-1}(x)=[/tex]=[tex]-\frac{x+4}{5}[/tex]
Step-by-step 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
[tex]y=-\frac{x+4}{5}[/tex]
or
[tex]f^{-1}(x)=[/tex]=[tex]-\frac{x+4}{5}[/tex]
Answer:
f⁻¹(x) = -(x+4) / 5
Step-by-step 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.
