given the two functions f(x)=ln(4x - 1) and g(x)=(x + 2)^2, calculate (g ∘ f)(11). round your final answer…
given the two functions f(x)=ln(4x - 1) and g(x)=(x + 2)^2, calculate (g ∘ f)(11). round your final answer to two decimal places.
Answer
Explanation:
Step1: Calculate $f(11)$
First, substitute $x = 11$ into $f(x)$. $f(11)=\ln(4\times11 - 1)=\ln(44 - 1)=\ln(43)\approx3.7612$.
Step2: Calculate $(g\circ f)(11)$
Since $(g\circ f)(11)=g(f(11))$, substitute $f(11)\approx3.7612$ into $g(x)$. $g(f(11))=(3.7612 + 2)^2=(5.7612)^2\approx33.19$.
Answer:
$33.19$