Let with constant and let

MATHEMATICS · Single correct · US High School · Algebra 1 · Functions · Functions

Problem

Let

g(x)=kx+2

with constant

k

and let

f(u)=\dfrac{1}{u}

. For which value of

k

does

\displaystyle \lim_{x\to 1} f\bigl(g(x)\bigr)=\dfrac{1}{5}

? (a)

k=-\dfrac{9}{5}

(b)

k=5

(c)

k=3

(d)

k=-\dfrac{5}{9}