Answer:
see explanation
Step-by-step explanation:
Given
f(x) = 3x² + 1
To obtain f(- 1) substitute x = - 1 into f(x) , that is
(8)
f(- 1) = 3(- 1)² + 1 = 3(1) + 1 = 3 + 1 = 4
(9)
Similarly
f(0) = 3(0)² + 1 = 3(0) + 1 = 0 + 1 = 1
(10)
Given
f(x) = 3x² + 1 and f(x) = 49, then equate right sides
3x² + 1 = 49 ( subtract 1 from both sides )
3x² = 48 ( divide both sides by 3 )
x² = 16 ( take the square root of both sides )
x = ±
= ± 4
That is x = - 4 or x = 4