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Grade 11Differential Calculus

Q)The value of the parameter a,for which the function f(x)=1+ax,a is not equal to zero is the inverse of itself,is
a)-2 b)-1 c)1 d)2
PLZ solve it sir

Profile image of Sibashis ghosh
11 Years agoGrade 11
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1 Answer

Profile image of Vikas TU
9 Years ago
Inverse of f(x) is:
y = ax + 1
ax = y – 1
x = (y-1)/a
or
y(x) = (x-1)/a
then,
(x-1)/a = (1+ax)
solve the quadratic and fin the dicriminant and its range.