Quick questions on Inverse and composite functions (VCE Maths Methods Unit 1)

3short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is q1?

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Find the inverse of

f(x) = 3x - 7

. [2 marks]

What is q2?

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For

f(x) = x^2 + 1

with domain

x \le 0

, find

f^{-1}(x)

and state its domain. [3 marks]

What is q3?

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Let

f(x) = 2x

and

g(x) = x - 3

. Find

(f \circ g)(x)

and

(g \circ f)(x)

. [2+2 marks]

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