Answer:
f^-1(x) = 4x^2 -3 . . . . x ≤ 0
Step-by-step explanation:
Interchange x and y, then solve for y.
x = -1/2√(y+3)
-2x = √(y +3)
4x^2 = y +3
4x^2 -3 = y
Note that the range of the function f(x) is f(x) ≤ 0, so this will be the domain of the inverse function. Then the inverse function is ...
f^-1(x) = 4x^2 -3 . . . . for x ≤ 0
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The attached graph shows this inverse function is a reflection of the function across the line y=x, as it should be.
Seems to me that if you need help your brain isn’t rlly all that good...i’m good with my brain thanks!
Good morning
x-3y=-3
x+3y=9
Solve x-3y=-3 for x
Add 3y to both sides
x-3y+3y=-3+3y
x= 3y-3
Substitute 3y-3 for x in x+3y=9
x+3y=9
3y-3+3y=9
Simplify both sides of the equation
6y-3=9
Add 3 to both sides
6y-3+3=9+3
6y=12
Divide both sides by 6
6y/6=12/6
y=2
Substitute 2 for y in x=3y-3
x=3y-3
x= (3)(2)-3
x= 6-3
x= 3
Final answer : X=3, Y=2
I hope that's help !
Have a great Sunday :)