For , let and let . The inverse of the composite function…

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

For

x\ge 0

, let

g(x)=\sqrt{x}

and let

f(x)=2x+3

. The inverse of the composite function

(f\circ g)

is (a)

\dfrac{(x-3)^2}{2}

(b)

\left(\dfrac{x-3}{2}\right)^2

(c)

\sqrt{2x+3}

(d)

\left(\dfrac{x+3}{2}\right)^2

Related theory

Browse the problem library