Complete the generic rectangle (PLEASE HELP)
1 answer:
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Answer:
Step-by-step explanation:
By definition the domain of an inverse function is the range of f(x) and the range of the inverse function is equal to the domain of the principal function f(x).
If you have a function , then to find the inverse function, follow these steps:
1. Make
2. Solve for the variable "x":
3. Exchange the variable "x" with the variable "y":
4. Exchange "y" with. Then the inverse function is:
The exponential function which represented by the values in the table is ⇒ 3rd answer
Step-by-step explanation:
The form of the exponential function is , where
- a is the initial value (when x = 0)
- b is the growth/decay factor
- If k > 1, then it is a growth factor
- If 0 < k < 1, then it is a decay factor
The table:
→ x : f(x)
→ -2 : 16
→ -1 : 8
→ 0 : 4
→ 1 : 2
→ 2 : 1
∵
- To find the exponential function substitute the value of x and f(x)
by some values from the table to find a and b, at first use the
point (0 , 4) to find the value of a
∵ x = 0 and f(x) = 4
∴
- Remember that any number to the power of zero equal 1
except the zero
∵
∴ 4 = a(1)
∴ a = 4
Substitute the value of a in the equation
∴
- Chose any other point fro the table to find b, lets take (1 , 2)
∵ x = 1 and f(x) = 2
∴
∴ 2 = 4 b
- Divide both sides by 4
∴
- Substitute the value of b in the equation
∴
The exponential function which represented by the values in the table is
Learn more:
You can learn more about the logarithmic functions in brainly.com/question/11921476
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