Question

$(f circ g)(x)$ is equivalent to
$\bigcirc$ f(x) * g(x)
$\bigcirc$ f (g(x))
$\bigcirc$ (f + g) (x)
$\bigcirc$ (f * g) (x)

question 2 1 pts
if f(x) = 4x + 3 and g(x) = 2x - 1, to find
$(f circ g)(6)$

Explanation:

Step1: Define function composition

$(f \circ g)(x) = f(g(x))$

Step2: Solve Question 1

Match definition to options.

Step3: Compute $g(6)$ for Question 2

$g(6) = 2(6) - 1 = 12 - 1 = 11$

Step4: Compute $f(g(6))$

$f(11) = 4(11) + 3 = 44 + 3 = 47$

Answer:

1. B. f(g(x))
2. 47