A Sketch the graph of for .

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

Problem

1. a Sketch the graph of

g : x \rightarrow x^2 + 6x + 7

for

x \in ]-\infty, -3]

. (1) a Sketch the graph of

g : x \rightarrow x^2 + 6x + 7

for

x \in ]-\infty, -3]

. (2) b Explain why

g

has an inverse function

g^{-1}

. (3) c Find algebraically, a formula for

g^{-1}

. (4) d Sketch the graph of

y = g^{-1}(x)

. (5) e Find the range of

g

. (6) f Find the domain and range of

g^{-1}