Question

practice assignment 3.4 composition of functions
score: 10/80 answered: 1/8
question 2
let ( f(x) = 4x + 5 ) and ( g(x) = 3x^2 + 4x ).
after simplifying,
( (f circ g)(x) = )
question help: video message instructor

Explanation:

Step1: Define function composition

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

Step2: Substitute $g(x)$ into $f$

$f(3x^2 + 4x) = 4(3x^2 + 4x) + 5$

Step3: Distribute the coefficient

$4(3x^2) + 4(4x) + 5 = 12x^2 + 16x + 5$

Step4: Simplify the expression

No like terms to combine, so the expression is fully simplified.

Answer:

$12x^2 + 16x + 5$