The inverse of the function are respectively; f⁻¹(3) = 2 and f⁻¹(8) = 8.5
<h3>How to find the inverse of a Function?</h3>
The formula to find the equation of this function using two coordinates is;
(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)
Using the first 2 coordinates, we have;
(y - 1)/(x + 1) = (3 - 1)/(2 + 1)
(y - 1)/(x + 1) = 2/3
3y - 3 = 2x + 2
3y = 2x + 5
y = ¹/₃(2x + 5)
Thus, the inverse is;
f⁻¹(x) = (3x - 5)/2
Thus;
f⁻¹(3) = (3*3 - 5)/2
f⁻¹(3) = 2
Similarly;
f⁻¹(x) = (3x - 5)/2
Thus;
f⁻¹(8) = (3*8 - 5)/2
f⁻¹(8) = 8.5
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Answer:
18
Step-by-step explanation:
Let's make this information into an equation.
We'll use 'x' whenever the problem says "a number".
Equation:
5x + 18 = 36 + 4x
How did I get to this equation?
- 5 times a number means 5 multiplied by x
- increased by 18 means to add 18
- is the same as means equals
- 36 more than means to add 36
- 4 times the number means 4 multiplied by x
Now, let's solve.
Solve:
5x + 18 = 36 + 4x
Subtract 18 on both sides:
5x + 18 = 36 + 4x
-18 -18
5x = 18 + 4x
Subtract 4x on both sides:
5x = 18 + 4x
-4x -4x
x = 18
Therefore, "the number" is 18.
Answer:
x+11-14
Step-by-step explanation:
The temperature rose by 11 and fell by 14 so you add 11 and subtract 14 from the original number.
Answer:
![\displaystyle f(x) = [\frac{3}{4}]^x + 5](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%28x%29%20%3D%20%5B%5Cfrac%7B3%7D%7B4%7D%5D%5Ex%20%2B%205)
Explanation:
All you have to do is plug in some intervals into the function based off of the graph, to make sure your function is authentic.
* Anytime that 
the graph will be <em>falling from the left</em>.
I am joyous to assist you anytime.
