List of top Mathematics Questions on Functions asked in MHT CET

If $ f(x) = 3x^2 + 5x - 7 $, find $ f(2) $.
If $ f(x) = 2x^2 - 3x + 5 $, find $ f(3) $.
The point on the line \( 4x - y - 2 = 0 \) which is equidistant from the points \( (-5, 6) \) and \( (3, 2) \) is
If \( f(x) = |x| - |1| \), then points where \( f(x) \) is not differentiable, is/are:
If \( \mathbf{a} = \mathbf{i} + 2\mathbf{j} - 3\mathbf{k} \) and \( \mathbf{b} = 2\mathbf{i} - 3\mathbf{j} - 5\mathbf{k} \), then:
If \( f(x) = 3x + 6 \), \( g(x) = 4x + k \), and \( f \circ g(x) = g \circ f(x) \), then find \( k \):