Evaluating and Transforming a Linear Function

00:00 6 marks

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Consider the linear function f(x) = 3x – 5.

Part a

1 minutes 1 marks

Question

Find f(2).



Hint Hint

Hint

Substitute x = 2 into f(x).

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Complete Answer

1

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Part b

2 minutes 2 marks

Question

Find x when f(x) = 10.



Hint Hint

Hint

Set up the equation 3x – 5 = 10 and solve for x.

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Complete Answer

x = 5

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Part c

3 minutes 3 marks

Question

The function g is defined as g(x) = 2f(x) + 7. Write g(x) in the form ax + b.



Hint Hint

Hint

Substitute f(x)=3x-5 into the expression for g(x) and simplify.

  • Answer Answer
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Complete Answer

g(x) = 6x – 3

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