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3.2 Algebra and Functions (A-level only)

3.2 Algebra and Functions (A-level only)

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Question 34

The functions f f\,f and g g\,g are defined by

f:x→ln⁡(x+3),x∈R,x>−3 f: x \rightarrow \ln(x + 3), \quad x \in \mathbb{R}, x > -3 f:x→ln(x+3),x∈R,x>−3 g:x→5x+2,x∈R,x≠−2 g: x \rightarrow \frac{5}{x+2}, \quad x \in \mathbb{R}, x \neq -2 g:x→x+25​,x∈R,x=−2
a.

Find the exact value of fg(3)fg(3)fg(3)

[2]
b.

Find an expression for f−1(x)f^{-1}(x)f−1(x) and state its domain

[4]
c.

Sketch the graphs of f(x)f(x)f(x) and f−1(x)f^{-1}(x)f−1(x) on the same diagram

[3]
d.

Sketch the graph of y=∣g(x)∣y = |g(x)|y=∣g(x)∣

[3]
e.

Find the exact values of ∣5x+2∣=10\displaystyle | \frac{5}{x+2} | = 10∣x+25​∣=10

[3]
Markscheme

3.2 Algebra and Functions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.2 Algebra and Functions (A-level only)

216 exam-style questions on WJEC A Level Maths 3.2 Algebra and Functions (A-level only), covering 3.2.1 Algebra and Functions (A-level only), 3.2.2 Algebra and Functions (A-level only), 3.2.3 Algebra and Functions (A-level only), 3.2.4 Algebra and Functions (A-level only), 3.2.5 Algebra and Functions (A-level only), 3.2.6 Algebra and Functions (A-level only), and 3.2 Algebra and Functions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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