Five marks exercise problems I — task. Mathematics State Board, Class 10.

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1. Find the value of \(k\); such that \(f \circ g = g \circ f\).

(i) \(f(x) = 3x + 2\), \(g(x) = 6x - k\)

The value of \(k\) \(=\)

(ii) \(f(x) = 2x - k\), \(g(x) = 4x + 5\)

The value of \(k\) \(=\)

\frac{i}{i}

2. (i) If \(f(x) = x^2 - 1\), \(g(x) = x - 2\) find \(a\), if \(g \circ f(a) = 1\).

The value of \(a\) \(=\)

\pm i

(ii) Find \(k\), if \(f(k) = 2k - 1\) and \(f \circ f(k) = 5\).

The value of \(k\) \(=\)

Did you find an error?

6. Five marks exercise problems I