Question

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Answer 1

Answer:

x = 0, - 2

Step-by-step explanation:

To find f(g(x)) , substitute x = g(x) into f(x)

f(x²) = 2x² + 1

To find g(f(x)) , substitute x = f(x) into g(x)

g(2x + 1) = (2x + 1)²

Then equating

(2x + 1)² = 2x² + 1 ← expand left side using FOIL

4x² + 4x + 1 = 2x² + 1 ( subtract 2x² + 1 from both sides )

2x² + 4x = 0 ← factor out 2x from each term on the left side

2x(x + 2) = 0

Equate each factor to zero and solve for x

2x = 0 ⇒ x = 0

x + 2 = 0 ⇒ x = - 2

solutions are x = 0, - 2

Answer 2

The Answer is:
x= 0, -2