\(\frac{3x - 4}{2x - 7}, x \neq \frac{7}{2}\)
\(\frac{3x - 7}{2x - 4}, x \neq 2\)
\(\frac{2x - 7}{4x - 3}, x \neq \frac{3}{4}\)
\(\frac{4x - 7}{2x - 4}, x \neq 2\)
Correct answer is B
\(h : x \to 2 - \frac{1}{2x - 3}\)
\(h(x) = \frac{2(2x - 3) - 1}{2x - 3} = \frac{4x - 7}{2x - 3}\)
Let x = h(y)
\(x = \frac{4y - 7}{2y - 3}\)
\(x(2y - 3) = 4y - 7 \implies 2xy - 4y = 3x - 7\)
\(y = \frac{3x - 7}{2x - 4}\)
\(h^{-1}(x) = \frac{3x - 7}{2x - 4}\)
A circle with centre (5,-4) passes through the point (5, 0). Find its equation. ...
Calculate the standard deviation of 30, 29, 25, 28, 32 and 24. ...
If\((\frac{1}{9})^{2x-1} = (\frac{1}{81})^{2-3x}\)find the value of x...
If \(s = 3i - j\) and \(t = 2i + 3j\), find \((t - 3s).(t + 3s)\)....
Find the coefficient of \(x^{4}\) in the binomial expansion of \((2 + x)^{6}\)...
Evaluate tan 75\(^o\); leaving the answer in surd form (radicals) ...
If P = \(\begin {pmatrix} 2 & 3\\ -4 & 1 \end {pmatrix}\), Q = \(\begin{pmat...