The outside temperature at an altitude km above ground level in a particular city is

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

Problem

The outside temperature at an altitude aa km above ground level in a particular city is T(a)=25−6a ∘CT(a)=25-6a\ ^\circ\mathrm{C}. The altitude of an aeroplane tt minutes after taking off is a(t)=12−60t+5a(t)=12-\frac{60}{t+5} km. Find the composite function T∘aT\circ a, and explain what it means.

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