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# Functional Operations

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The operation $*$ is defined for non-zero $a$ and $b$ as follows: $a * b = \frac{1}{a} + \frac{1}{b}$. If $a+b = 13$ and $a \times b = 25$, what is the value of $a*b$? Express your answer as a common fraction.

Feb 14, 2021

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Since we know that a x b = 25, we can put 1/a + 1/b as (b + a) / 25.

Then we know that a + b = 13, so 1/a + 1/b would equal 13/25, which is your answer :)

Feb 14, 2021

#1
+283
+2

Since we know that a x b = 25, we can put 1/a + 1/b as (b + a) / 25.

Then we know that a + b = 13, so 1/a + 1/b would equal 13/25, which is your answer :)

Logarhythm Feb 14, 2021