Use the functions f (x) = 2x and g (x) = x^2+1 to find the value of each expression

1. f (g (3))

2. f (3) + g (4)

3. f (5) - 2*g (1)

1. 20

2. 23

3. 6

Step-by-step explanation:

We have that:

f (x) = 2x

g (x) = x² + 1

f (g (x)) is the composite function of f and g. So

f (g (x)) = f (x²-1) = 2 (x²+1) = 2x² + 2

1. f (g (3))

f (g (x)) = 2x² - 2 = 2 (3) ² + 2 = 18 + 2 = 20

2. f (3) + g (4)

f (3) = 2 (3) = 6

g (4) = 4² + 1 = 17

f (3) + g (4) = 6 + 17 = 23

3. f (5) - 2g (1)

f (5) = 2 (5) = 10

g (1) = (1) ² + 1 = 2

f (5) - 2g (1) = 10 - 2*2 = 10 - 4 = 6