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Let f: Rvec\ be defined as f(x)=10 x+7....

Let `f: Rvec\ ` be defined as `f(x)=10 x+7.` Find the function `g: RvecR` such that `gof=fog=I_Rdot`

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gof `= fog = IR`
` => fog = IR`
` => fog(x) = I (x) `
` =>f (g(x)) = x [I(x) = x `
is 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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