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Reciprocal Functions - Practice Questions

Question 1 of 9

Given that \(f(x) = {x^2}\) then \(g(x) = \dfrac{1}{{f(x)}}\) is?

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Reciprocal Functions - Practice Questions

Question 2 of 9

Given that \(f(x) = x - 1\) then \(g(x) = \dfrac{1}{{f(x)}}\) is?

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Reciprocal Functions - Practice Questions

Question 3 of 9

Given that \(f(x) = {x^2} - 1\) then \(g(x) = \dfrac{1}{{f(x)}}\) is?

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Reciprocal Functions - Practice Questions

Question 4 of 9

Given that \(f(x) = {(x + 1)^2}\) then \(g(x) = \dfrac{1}{{f(x)}}\) is?

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Reciprocal Functions - Practice Questions

Question 5 of 9

Given that \(f(x) = {(x - 1)^2} + 1\,\) then \(g(x) = \dfrac{1}{{f(x)}}\) is?

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Reciprocal Functions - Practice Questions

Question 6 of 9

Use the graph of \(f(x) = 1 - {x^2}\) to sketch the graph of \(y = \dfrac{1}{{f(x)}}\).

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Reciprocal Functions - Practice Questions

Question 7 of 9

Use the graph of \(f(x) = 1 - x\) to sketch the graph of \(y = \dfrac{1}{{f(x)}}\)

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Reciprocal Functions - Practice Questions

Question 8 of 9

Use the graph of \(f(x) = 2x\left( {x - 1} \right)\) to sketch the graph of \(y = \dfrac{1}{{f(x)}}\).

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Reciprocal Functions - Practice Questions

Question 9 of 9

Use the graph of \(f(x) = 3{x^2} - {x^3}\) to sketch the graph of \(y = \dfrac{1}{{f(x)}}\).

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NSW Y11 Maths Standard NSW Y11 Maths Advanced NSW Y11 Maths Extension 1

Topics

Functions Polynomials Inverse Trig Functions and Identities Rates of Change Permutations and Combinations

Reciprocal Functions - Questions

Q 1 More Questions

Question 1

Given that \(f(x) = {x^2}\) then \(g(x) = \dfrac{1}{{f(x)}}\) is?

A

B

C

D

Answer Click to reveal

Worked Solution Click to reveal

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