Consider , .

MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Consider

f : x \rightarrow (x + 1)^2 + 3

,

x \ge -1

. (1) a Find

f^{-1}(x)

. (2) b Use technology to help sketch the graphs of

y = f(x)

,

y = x

, and

y = f^{-1}(x)

. (3) c State the domain and range of

f

and

f^{-1}

.

Related theory

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