Answer:
(0, - 4 )
Step-by-step explanation:
Given f(x) = g(x), then
- 2[tex]\sqrt{3x+4}[/tex] = - 2[tex]\sqrt{x+4}[/tex] ( divide both sides by - 2 )
[tex]\sqrt{3x+4}[/tex] = [tex]\sqrt{x+4}[/tex]
Square both sides
3x + 4 = x + 4 ( subtract x from both sides )
2x + 4 = 4 ( subtract 4 from both sides )
2x = 0 ⇒ x = 0
Substitute x = 0 into either of the 2 functions to find y
g( 0 ) = - 2[tex]\sqrt{0+4}[/tex] = - 2[tex]\sqrt{4}[/tex] = - 2 × 2 = - 4
Solution is (0, - 4 )
