Let be defined by and by

MATHEMATICS · Subjective · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let f:R→Rf:\mathbb R\to\mathbb R be defined by f(x)=5x−7f(x)=5x-7 and g:R→Rg:\mathbb R\to\mathbb R by g(x)=x+75g(x)=\dfrac{x+7}{5}. Verify that ff and gg are inverses of each other by calculating both g∘fg\circ f and f∘gf\circ g.

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