If ,f(x)= 1/4x+3, what is the equation for f–1(x)?

= .

Step-by-step explanation:

Given  : f(x) = .

To find : inverse

Solution : We have given f(x) = .

Step 1: f(x) = y

y =  .

Step 2: replace x and y .

x =  .

Step 3:

Solve for y

On subtracting both sides by 3

x -3  = .

Taking reciprocal both sides

4y =  .

On dividing both sides by 4

y =  .

Take .

= .

Therefore,  =.

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.