Which of the following is a function equivalent to f(x) = 5(1.9)^3x?
f(x) = 34.29^x
f(x) = 5(6.86x)
f(x) = 5(6.86)^x
f(x) = 328.51^x

f(x) = 5(6.86)^x

Step-by-step explanation:

The function f(x) can be simplified according the the laws of mathematics. The expression is 5 multiplied by the 1.9^3x. You cannnot multiply 5 with 1.9 because 1.9 has a power of 3x. The 5 can only be multiply by the 1.9 if the 5 had a power of x or if 1.9 has a power of just 3. Therefore:

f(x) = 5×(1.9×1,9×1.9)^x = 5×(6.86)^x

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2