1.

consider the function f: R to R defined by f(x) = 2x+5, tet a function g:1/2(x - 5)prove that g is an inverse of f​

Answer» ONG>Answer:

f : R \rightarrow R

f(x)= 2x+5

Now to prove that G is INVERSE of f we just need to SHOW that

f(g(x))=x

Now,

f(g(x)) = f(\frac{1}{2} (x-5))

f(g(x)) = 2(\frac{1}{2} (x-5))+5 = x

\text{hence, } g^{-1} = f


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