3
2
34
-3
Correct answer is D
g(x)=x+1x+2,x≠2
Let y = x, then g(y)=y+1y+2
Let x = g(y), so that x=y+1y+2
x(y+2)=y+1
xy+2x=y+1⟹xy−y=1−2x
y(x−1)=1−2x⟹y=1−2xx−1
y=g−1(x)=1−2xx−1
g−1(2)=1−2(2)2−1=−3
A binary operation ♦ is defined on the set R, of real numbers by \(a ♦ b = \fr...
If →PQ = -2i + 5j and →RQ = -i - 7j, find →PR ...
Find the value of \cos(60° + 45°) leaving your answer in surd form...
Evaluate \int_{\frac{1}{2}}^{1} \frac{x^{3} - 4}{x^{3}} \mathrm {d} x....
The tangent to the curve y = 4x^{3} + kx^{2} - 6x + 4 at the point P(1, m) is parallel to the x-...
Find the distance between the points (2, 5) and (5, 9). ...
Given that P = \begin{pmatrix} 4 & 9 \end{pmatrix} and \(Q = \begin{pmatrix} -1 & -2 \\ ...
QRS is a triangle such that \overrightarrow{QR} = (3i + 2j) and \(\overrightarrow{SR} = (-5i + 3...
If log 5(\frac{125x^3}{\sqrt[ 3 ] {y}} is expressed in the values of p, q and k respec...