Question

f(
x) = 3
x^2 – 1 and
g
(
x) = 3 +
x
. If f = g then the value of
x is ..........

​explain properly please​

Answer 1

Answer:

x= -1 or 4/3

Step-by-step explanation:

So first, you can set the equations equal to each other. If f(x)=g(x) then $3x^{2} -1=3+x$. Subtracting x and 3 from both sides would result in.$3x^2-x-4=0$ Now you would just have to factor this equation.

In order to factor quadratics with a coefficient greater than 1, you have to multiply the 'a' value and the 'c' value. 3 * -4 = -12. Now you have to find two integers whose sum is -1 and their product is -12. These two numbers are -4 and 3. Rewriting the equation brings: $3x^2+3x-4x-4$. You can now factor normally.

Factoring out the 3x from the first half gives you 3x(x+1) -4x -4. You want another x+1 so you can factor out a -4 from the 2nd half of the equation. That would give you $3x(x+1)-4(x+1)$. Undistributing it would give you $(3x-4)(x+1)$=0. x=4/3 or -1

I hope this helps