Question

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

Answer 1

value of a function f(g) =g2+3g =because g2+3g

Answer 2

Answer:

The values of g for which f(g) equals 18 are 3 or -6

Step-by-step explanation:

I am presuming that the function is f(g) = g^2 + 3g       (and not g2 as it appears)

We need to find the value(s) of g for which f(g) = 18

This means:

g^2 + 3g = 18

g^2 + 3g - 18 = 0

g^2 + 6g - 3g - 18 = 0

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

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

This implies,

g-3 = 0 or g+6 = 0

g = 3 or g = -6

Verify

f(3) = (3)^2 + 3(3)          [Substituting for g in the given function f(g)]

      = 9 + 9

      = 18

f(-6) = (-6)^2 + 3(-6)

       = 36 - 18

       = 18