For what value of g does the function f(g) = g² + 3g equal 18?

Solution:

Given, function f(g) = g² + 3g

We have to find the value of g when f(g) is 18.

g² + 3g = 18

g² + 3g - 18 = 0

By splitting the middle term

g² + 6g - 3g - 18 = 0

Taking out the common terms

g(g + 6) - 3(g + 6) 0

(g + 6)(g - 3) = 0

Here

g + 6 = 0 ⇒ g = -6

g - 3 = 0 ⇒ g = 3

Therefore, the value of g is g = -6 and g = 3.

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For what value of g does the function f(g) = g² + 3g equal 18?

Summary:

The value of g for which the function f(g) = g² + 3g equal 18 is g = -6 and g = 3.