Question

Hellllpppp Pleaseeeeee

Answer 1

Answer:

Statement 1 & Statement 3

Step-by-step explanation:

4 ÷ 10/3

4 × 3/10

12/10

6/5

f(x + 1) = (6/5) × f(x)

f(x) = (10/3) × (6/5)^(x-1)

f(x) = (10/3) × (5/6) × (6/5)^x

f(x) = (25/9) × (6/5)^x

The domain is all natural numbers and the range is real numbers

Answer 2

Step-by-step explanation:

Step 1:  Find the correct answer

Option A is correct because if you plug in the numbers...

$f(0 + 1) = \frac{10}{3}$ → $f(1)=\frac{10}{3}$

$f(1 + 1) = \frac{6}{5} * \frac{10}{3}$ → $f(2)=4$

$f(2 + 1) = \frac{6}{5} * \frac{4}{1}$ → $f(3) = \frac{24}{5}$

$f(3 + 1) = \frac{6}{5} * \frac{24}{5}$ → $f(4) = \frac{144}{25}$

Also, Option C is correct because if you plug in the numbers...

$f(1) = \frac{10}{3}(\frac{6}{5})^(^1^-^1^)$ → $f(1) = \frac{10}{3} * 1$ → $f(1)=\frac{10}{3}$

$f(2) = \frac{10}{3}(\frac{6}{5})^(^2^-^1^)$ → $f(2) = \frac{10}{3}*\frac{6}{5}$ → $f(2) = 4$

$f(3) = \frac{10}{3}(\frac{6}{5})^(^3^-^1^)$ → $f(3) = \frac{10}{3}*\frac{36}{25}$ → $f(3) = \frac{24}{5}$

$f(4) = \frac{10}{3}(\frac{6}{5})^(^4^-^1^)$ → $f(4) = \frac{10}{3} * \frac{216}{125}$ → $f(4) = \frac{144}{25}$

The reason why option B is not correct is because when you plug in a number, the output is incorrect.  The reason why Option D is not correct is because the domain does not include negative numbers which means that the domain is all natural numbers.  The reason why Option E is not correct is because the range is all real numbers and not just natural/positive numbers.

Answer: Options A, C