Answer:
f(x + 1) = Five-halves f(x) (A)
Question:
The complete question as found in brainly( ID:13525864) is stated below.
Pablo generates the function f(x) = three-halves (five-halves) Superscript x minus 1 to determine the xth number in a sequence.
Which is an equivalent representation?
f(x + 1) = Five-halvesf(x)
f(x) = Five-halvesf(x + 1)
f(x + 1) = Three-halvesf(x)
f(x) = Three-halvesf(x + 1)
Step-by-step explanation:
f(x) = (3/2)(5/2)^(x-1)
Where 3/2 = three-halves and 5/2 = (five-halves)
To determine an equivalent representation, let's assign values to x to see the outcome and compare it with the options.
f(x) = (3/2)(5/2)^(x-1)
For x = 1
f(x) = (3/2)(5/2)^(1-1) = (3/2)(5/2)^(0)
f(x) =(3/2)(1) = 3/2
For x = 2
f(x) = (3/2)(5/2)^(2-1) = (3/2)(5/2)^(1)
f(x) =(3/2)(5/2)
So from the above assigned values
f(x=1) = 3/2
f(x=2) = f(x + 1) = f(1 + 1)
f(x + 1) = (3/2)(5/2)
Since f(x) = 3/2
f(x+1) = (3/2)(5/2) = f(x) × 5/2 = 5/2f(x)
From the options, an equivalent representation: f(x + 1) = Five-halves f(x)
(A)
