Can someone me with this problem?

let f(x)=(x-2)^3+8.
show that this function is one-to-one algebraically.

i've been stuck on this problem for quite some time now. i'm not asking for answers just a little explanation on what i need to do to solve it.

Negative 5 1/12 + negative 4 1/4 + 6 3/4

Simplify (2^5/3^2)^4 a. 2^20/3^8 b. 2^9/3^8 c. 8^5/12^2 d. 2/3^2

Ascientist has 50 grams of a radioactive element. the amount of radioactive element remaining after t days can be determined using the equation (1) after two days the scientist receives a second shipment of 50 grams of the same element. the equation used to represent the amount of shipment 2 remaining after t days is 10) - 50 which of the following is an equivalent form of the expression for the amount remaining in shipment 2? what’s the answer?