TBQ - Prove the following — task. Maths TNSB Mentoring, Class 10.

Consider the function \(f(p)\), \(g(p)\), \(h(p)\) as given below. Verify that \((f \circ g) \circ h = f \circ (g \circ h)\) in the below case.

\(f(p) = p - 1\), \(g(p) = 3p + 1\) and \(h(p) = p^2\)

Proof:

\(f \circ g\) \(=\)

i i

\((f \circ g) \circ h\) \(=\)

i i^{i}

- - - - - - - (I)

\(g \circ h\) \(=\)

i i^{i} + i

\(f \circ (g \circ h)\) \(=\)

i i^{i}

- - - - - - - (II)

Equation (I) Equation (II)

Hence, proved.

Did you find an error?

8. TBQ - Prove the following