Question

type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. consider functions f and g. f(x) = 6/(x + 2), g(x) = 4x² + 2. evaluate the function composition. (f ∘ g)(-1) =

Explanation:

Step1: Calculate $g(-1)$

$g(-1)=4(-1)^2 + 2 = 4(1)+2=6$

Step2: Substitute into $f(x)$

$f(g(-1))=f(6)=\frac{6}{6+2}$

Step3: Simplify the fraction

$\frac{6}{8}=\frac{3}{4}$

Answer:

$\frac{3}{4}$