Let F (x) = 6x^2 - 5 and g (x) = 2x - 1

Find f • g

Question

Mathematics

Javier

30 September, 19:21

Let F (x) = 6x^2 - 5 and g (x) = 2x - 1

Find f • g

+2

Answers (1)

Know the Answer?

Ronald Newman · Answer 1

Answer: f·g (x) = 12x³ - 6x² - 10x + 5

fog (x) = 24x² - 24x + 1

Step-by-step explanation:

f (x) = 6x² - 5 g (x) = 2x - 1

f·g (x) = (6x² - 5) (2x - 1)

= 6x² (2x - 1) - 5 (2x - 1)

= 12x³ - 6x² - 10x + 5

fog (x) = f (2x-1)

= 6 (2x - 1) ² - 5

=6 (4x² - 4x + 1) - 5

= 24x² - 25x + 6 - 5

= 24x² - 25x + 1

I wasn't sure if you wanted multiplication or composition so I solved both.

Let F (x) = 6x^2 - 5 and g (x) = 2x - 1Find f • g

Let F (x) = 6x^2 - 5 and g (x) = 2x - 1

Find f • g