Question

Let f(x) = 6x2-5 and g(x) = 2x-1. Find f.g. PLEASE HELP WITH REAL ANSWERS

Answer 1

Answer:

f of g = 24x²+24x+1

Step-by-step explanation:

f(g(x)) = 6(2x-1)²-5

= 6(2x-1)(2x-1)-5

= 6(4x²+4x+1)-5

= 24x²+24x+6-5

= 24x²+24x+1

Answer 2

Answer:

12x3 − 6x2 − 10x + 5

Step-by-step explanation:

Let f(x) = 6x2 − 5 and g(x) = 2x − 1.

Find f · g. The domain is the set of all real numbers.

Use the multiplication operation.

(f · g)(x) = f(x) · g(x)

Substitute the given expressions for f(x) and g(x).

f · g = (6x2 − 5)(2x − 1)

Use the FOIL method.

= 12x3 − 6x2 − 10x + 5