1. Write out the given functions:
f(x) = 6x - 7
g(x) = 5x
2. Multiply the two functions:
(f \cdot g)(x) = (6x - 7) \cdot (5x)
3. Distribute the terms:
= 6x \cdot 5x - 7 \cdot 5x
4. Simplify the expression:
= 30x^2 - 35x
Answer:
(f \cdot g)(x) = 30x^2 - 35x