G(x) = 3x - 5
let g(x) = y
y = 3x - 5
y + 5 = 3x
3x = y + 5
x = (y + 5)/3
From y = g(x), x = g⁻¹(y)
<span>x = (y + 5)/3
</span>
g⁻¹(y) = <span>(y + 5)/3</span>
g⁻¹(x) = <span>(x + 5)/3</span>
Ok so for starters you want to choose an equation and solve for a variable.
So, I am going to choose x from the first equation.
Add y to both sides and you get x=11+y
Next, substitute 11+y for x in the other equation so you get...
2(11+y) +10y=-6
Next distribute the 2 throug the 11 and the y
22+2y+10y=-6
12y=-28
y=-28/12
reduce this fraction to make this easier.
y=-7/3
Now plug in why to either of the equations to find x
x-(-7/3)=11
x+7/3=11
x=11-(7/3)
x=(33/3)-(7/3)
x=26/3
so x = 26/3 and y = -7/3
you can also check to see if this is correct by substituting each of these values into the equations.
8/5 or 1.6 you just need to find the rise over the run
