Let f : R→R be defined as f(x) =10x +7. Find the function g : R→R – InterviewSolution

1.

Let f : R→R be defined as f(x) =10x +7. Find the function g : R→R such that gof =fog =IR.

Answer»

gof = fog = I_R
=> fog = I_R
=> fog(x) = I (x)
=>f (g(x)) = x [I(x) = x being identity function]
=>10 (g(x)) + 7 = x [f(x) = 10x + 7]
=>g(x)=x-7/10

i.e., g : R→R is a function defined as g(x)=x-7/10.

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