# Compute the indicated function value `f(x,y,z)=xye^z + xze^y+ yze^x` ; `f(7,7,7) = ?` `f(ln2,ln3,ln5) = ?`

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### 1 Answer

`f(x,y,z)=xy^e^z+xze^y+yze^x`

To evaluate a function, plug-in the values of the variables.

f(7,7,7)=?

This notation means that the values of the variables are x=7, y=7 and x=7.

Plug-in these values to the function to get f(7,7,7).

`f(7,7,7)=7*7e^7+7*7e^7+7*7e^7`

`f(7,7,7)=49e^7+49e^7+49e^7`

Note that adding the term by itself is the same as multiplying the term by the number of times it is added.

Since `49e^7` is being added by itself three times, this can be express as:

`f(7,7,7)=3*49e^7`

`f(7,7,7)=147e^7`

**Hence, `f(7,7,7)=147e^7` **.

*(For the second problem, kindly post it as separate question in Homework Help.)*