Mathematics

Problem

The line tangent to the graph of a differentiable, one-to-one function

f

x = 1

is given by

y = 4 + 2(x - 1)

. Which equation represents the line tangent to the graph of the inverse function

f^{-1}

x = 4

? a)

y - 1 = 2(x - 4)

y - 4 = \dfrac12(x - 1)

y - 1 = \dfrac12(x - 4)

y - 1 = -\dfrac12(x - 4)