Composite functions Problem set A Answers

1. (a) \(5 x^{2} - 2\)
2. (b) \(25 x^{2} - 20 x + 4\)

1. (a) \(4 x^{2} - 4 x + 4\)
2. (b) 13

1. (a) \(x \geq \frac{1}{4}\)
2. (b) \(x > 1\)

1. (a) -3
2. (b) a = 0 or 4

1. (a) \(f(x)=x^4\), \(g(x)=5x+2\)
2. (b) \(f(x)=\sqrt{x}\), \(g(x)=3x-7\)
3. (c) \(f(x)=e^x\), \(g(x)=x^2+1\)

\(x=\pm3.32\)

1. (a) \(0.85 p + 6\)
2. (b) \(0.85 p + 5.1\)
3. (c) £40.00 and £39.10. Delivery added first, then the sale, is cheaper.

1. (a) \(A=\pi(3t+2)^2\)
2. (b) 616 m²

x = 0, 2 or 4

1. (a) \(\frac{1}{2 x - 1}\)
2. (b) \(x \neq \frac{1}{2}\)

k = 4

\(x=1.13\) or \(x=4.87\)