If G(x) = 5x- 2, find G-1(x).

Step-by-step explanation:

The relationship between G(x) and its inverse G⁻¹ (x) is that the domain of G(x) is the range of G⁻¹ (x) and the range of G(x) is the domain of G⁻¹ (x).

∴  If G(x) = 5x - 2  then we can say that for G⁻¹(x)  x = 5y - 2 (switching the x and y values)

 let      x = 5y - 2     (add two to both sides)

     x + 2 = 5y           (divide both sides by 5)

           y = ¹/₅ x  +  ²/₅

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

so the possibilities of the measurement of the side of the triangle are either it is longest side or not the longest side

when it is the longest side

s < 25 + 35s < 60

if it is not the longest side

35 < 25 + s10 < sso 10 < s < 60so the perimeter70 < p < 130