Question

When digging into the earth, the temperature rises according to the function (f + g) (h). Given f(h) = 15h2 and g(h) = 0.02h + 1, where h is the depth. Write the function to find the temperature at a depth h.t(h) = 0.3h3 + 15h2t(h) = 15h2 - 0.02h - 1t(h) = 0.02h + 1 - 15h2t(h) = 15h2 + 0.02h + 1

Answer 1

Given:

The function is:

$\begin{gathered} f(h)=15h^2 \\ \\ g(h)=0.02h+1 \end{gathered}$

Find-:

Temperature after depth "h."

Explanation-:

The function of temperature is:

$t(h)=(f+g)(h)$

So, the temperature is:

$(f+g)(h)=f(h)+g(h)$

$\begin{gathered} t(h)=f(h)+h(h) \\ \end{gathered}$$t(h)=15h^2+0.02h+1$