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a_sh-v [17]
2 years ago
9

Evaluate the compositions indicated for the given functions. f(x) = −4x2, g(x) = x3 + 1 (f º g)(2) = ? –4,095 –324 –255 –196

Mathematics
1 answer:
nydimaria [60]2 years ago
3 0

Answer:

(f º g)(2) =-324

Step-by-step explanation:

we are given

f(x)=-4x^2

g(x)=x^3+1

Firstly, we will find f(g(x))

we can replace x as g(x) into f(x)

f(g(x))=-4(g(x))^2

now, we can plug back

g(x)=x^3+1

we get

f(g(x))=-4(x^3+1)^2

now, we can plug x=2

f(g(2))=-4(2^3+1)^2

f(g(2))=-4(9)^2

f(g(2))=-4\times 81

f(g(2))=-324


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