Let f (x) = 5x - 1 and g (x) = x2 + 2.

Find (f o g) (3).

Question

Brayden Curry

Mathematics

2 January, 21:20

Let f (x) = 5x - 1 and g (x) = x2 + 2.

Find (f o g) (3).

+1

Answers (1)

Know the Answer?

Kiley Ritter · Answer 1

(f ∘ g) (x) = 10 x - 3

Step-by-step explanation:

Just plug the formula for g (x) into the formula for f (x) (so replace x in the formula for f (x) with what g (x) equals), then simplify:

(f ∘ g) (x) = f (g (x)) = f (2 x - 1) = 5 (2 x - 1) + 2 = 10 x - 5 + 2 = 10 x - 3.

Let f (x) = 5x - 1 and g (x) = x2 + 2.Find (f o g) (3).

Let f (x) = 5x - 1 and g (x) = x2 + 2.

Find (f o g) (3).