X - (9x -10) + 11 = 12x + 3( -2 + 1/3)
x - 9x + 10 + 11 = 12x - 5 ...........................(1/3-2) = -5/3 => x 3 = -5
-8x + 21 = 12x - 5
26 = 20x
x = 13/10
Answer:
x=4
Step-by-step explanation:
In order to solve for x, we must isolate x on one side of the equation.
x+3x+5=21
First, combine like terms. x and 3x are both terms with variables, and can be combined.
(x+3x) + 5=21
4x + 5=21
5 is being added to 4x. The inverse of addition is subtraction. Subtract 5 from both sides of the equation.
4x+5-5= 21-5
4x= 16
x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.
4x/4=16/4
x= 16/4
x=4
Let's check our solution. Plug 4 in for x and solve.
x+3x+5=21
4+3(4)+5=21
4+12+5=21
16+5=21
21=21
This solution checks out, so we know our answer is correct.
x is equal to 4, x=4.
Answer:

Step-by-step explanation:
So we have the function:

To find the inverse function, switch x and f(x), change f(x) to f⁻¹(x), and solve for f⁻¹(x). Therefore:

Switch:

Add 1 to both sides:

Divide both sides by 6:

And that's our answer :)