Find the inverse of the following function​

f-¹(x)=

Solution given:

f(x)=

Let f(x)=y

y=

Interchanging role of x and y

x=

doing crisscrossed multiplication

x(y+7)=-2y+2

now solve it:

xy+7x=-2y+2

keep like terms in one side

xy+2y=2-7x

take common

y(x+2)=2-7x

make a value of y

y=

So,

f-¹(x)=

ƒ^-1 (x) =

Step-by-step explanation:

Substitute y for f (x)

Interchange x and y

Swap the sides of the equation

Multiply both sides of the equation by y + 7

-2y + 2 = (y + 7)x

Distribute x through the parentheses

-2y + 2 = xy + 7x

Move the expression/constant to the left-hand side and change its sign

-2y - xy + 7x - 2

Factor out  from the expression

(-2 - x)y = 7x - 2

Divide both sides of the equation by -2 - x

Simplify the expression

Substitute ƒ ^-1 (x) for y

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c