Answer:
The answer to your question is f⁻¹(x) = ![\frac{1}{2} x - \frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20x%20-%20%5Cfrac%7B3%7D%7B2%7D)
Step-by-step explanation:
Function
f(x) = 2x + 3
Process
1.- Instead of f(x) write y
y = 2x + 3
2.- Interchange the variables
x = 2y + 3
3.- Solve for y
- Subtract 3 in both sides
x - 3 = 2y + 3 - 3
x - 3 = 2y
- Divide by 2
![\frac{1}{2} x - \frac{3}{2} = y](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20x%20-%20%5Cfrac%7B3%7D%7B2%7D%20%3D%20y)
4.- Write f⁻¹(x) instead of y
f⁻¹(x) = ![\frac{1}{2} x - \frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20x%20-%20%5Cfrac%7B3%7D%7B2%7D)
Answer:
y ≥ -6 + 2
Step-by-step explanation:
The equation represented by the graph is y ≥ -6 + 2
where -6 is the slope and 2 is the y-intercept.
It is in standard form y = mx + b
where mx is the slope and b is the y-intercept.
Hope this helps!
16 inches.
There are four sides on a square, and if each side is 4 inches, multiply the 4 sides by 4 inches.
4 x 4 = 16
Answer:
A
Step-by-step explanation:
clearly, the equation has to allow t=0, and for that point we need to get 100% (of carbon-14) as result.
and so we also see, that the function calculates the % of the remaining carbon-14.
so, we need the desired outcome 60(%),
because 60 = 100 - 40.
and again, we need a function that shows t=0.
the only answer option fulfilling both criteria is A.
B divides in the exponent by t, so t=0 is not in the domain of the function.
and C and D aim for the wrong remaining percentage.
B-8 would be the answer. This is because we are saying you have 8 less than something. So no matter what something is, we are taking away 8 from it. Since our something is unknown, we use our variable 'b' in its place, and subtract 8, giving us b-8.<span />