Let and . Determine the value of that makes the composite function continuous at…

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Let

g(x)=\begin{cases}2x+3,&x<1\\k,&x=1\\x^{2},&x>1\end{cases}

and

f(u)=\cos u

. Determine the value of

k

that makes the composite function

(f\circ g)(x)

continuous at

x=1