please help me, im stuck and i do not understand what i need to do, answer the question in the picture please
1 answer:
Answer:
x = -
Step-by-step explanation:
To find f(g(x)) substitute x = g(x) into f(x), that is
f(g(x))
= f(x + 1)
= 2(x + 1)² ← expand using FOIL
= 2(x² + 2x + 1) ← distribute
= 2x² + 4x + 2
To find g(f(x)) substitute x = f(x) into g(x), that is
g(f(x))
= g(2x²)
= 2x² + 1
----------------------------------------------------------
Equating gives
2x² + 4x + 2 = 2x² + 1 ( subtract 2x² + 1 from both sides )
4x + 1 = 0 ( subtract 1 from both sides )
4x = - 1 ( divide both sides by 4 )
x = -
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Answer:
p = 2 or p = - 18
Step-by-step explanation:
given = 5 ( multiply both sides by 2 )
| p + 8 | = 10
The expression inside the absolute value can be positive or negative
that is p + 8 = ± 10
p + 8 = 10 ⇒ p = 10 - 8 = 2
p + 8 = - 10 ⇒ p = - 10 - 8 = - 18