Answer:
<h2>
f⁻¹(x) = ∛(x+1)</h2>
Step-by-step explanation:
Given the encoded message defined by the function f(x) = x³-1, the inverse function that the decoder would need when the message is received can be expressed as thus:
let the inverse of the function be represented as y such that y = x³-1.
Making x the subject of the formula from the equation above;
x³ = y+1
Taking the cube root of both sides:
∛x³ = ∛(y+1)
x = ∛(y+1)
replacing y with x:
y = ∛(x+1)
f⁻¹(x) = ∛(x+1)
The encoded message is the inverse function ∛(x+1)
Answer:
a) 10
b) 2.5
Step-by-step explanation:
2^n = 1024
2^n = 2^10
n = 10
4^(2n-3) = 16
4^(2n-3) = 4^2
2n-3 = 2
2n = 5
n = 2.5
Answer:
Step-by-step explanation:
Collin initially have 14
Step-by-step explanation:
Let
x------> money that Brian had initially
y------> money that Collin had initially
we know that
x/y=7/2
solve for x
x=7/2y -------> equation A
y-39=y-4 ------> equation B
substitute equation A in equation B
7/2y-39=y-4
7/2y-y=39-4
5/2y=35
y=14
I think the answer is b and c but I’m not very sure
