militaryops2000 militaryops2000

Today at 12:09 AM
Mathematics

Answered

What is the value of g(f(x)) when x = -2 if f(x) = x³

and g(x) =

2x+1
when x < 0

x²-1
when x>0

What is the value of g(f(x)) when x = -2 if f(x) = x³ and g(x) = 2x+1 when x < 0 x²-1 when x>0 class=

Answer :

profarouk profarouk

Today at 12:14 AM

Answer:

g(f(-2)) = -15

Step-by-step explanation:

• f(x) = x³

Then

f(-2) = (-2)³ = -8

• When x = -2 → g(f(x)) = g(f(-2)) = g(-8)

Since -8 ≤ 0 then g(-8) = 2×(-8) + 1 = -16 + 1 = -15

Conclusion:

g(f(-2)) = -15

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