Question

Representing an Equation in Function Notation
Consider the function represented by the equation 6c = 2p – 10. Write the equation in function notation, where c is the independent variable.

f(c) = one-thirdp + five-thirds
f(c) = 3c + 5
f(p) = one-thirdp + five-thirds
f(p) = 3c + 5

Answer 1

Solve for p in terms of independent variable c:
6c = 2p − 10
2p = 6c + 10
p = 3c + 5

Since c is the independent variable, write p as f(c): f(c) = 3c + 5.