Question

The function g(x) is defined as g(x) = 6x2 + 23x – 4. When does g(x) = 0? x = –6 or x = StartFraction 1 Over 4 EndFraction x = –4 or x = StartFraction 1 Over 6 EndFraction x = StartFraction negative 1 Over 4 EndFraction or x = 6 x = StartFraction negative 1 Over 6 EndFraction or x = 4

Answer 1

x = - 4 or
`x = (1)/(6)`

Explanation:

The function g(x) is defined as g(x) = 6x² + 23x – 4.

Now, we have to calculate x for f(x) = 0

So, 6x² + 23x - 4 = 0

⇒ 6x² + 24x - x - 4 = 0

⇒ (x + 4)(6x - 1) = 0

⇒ x = - 4 or
`x = (1)/(6)`

Therefore, the second option is correct. (Answer)