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Harrizon [31]
3 years ago
12

Which expression represents the composition [g o f o h](x) for the functions below?

Mathematics
1 answer:
spayn [35]3 years ago
7 0

Answer:

5(15x-4)^3

Step-by-step explanation:

f(x) = 5x - 4

g(x) = 5x^3

h(x) = 3x

(gofoh)(x)=g(f(h(x)))

Replace h(x) first

g(f(h(x)))=g(f(3x))

Now we plug in 3x in f(x)

g(f(h(x)))=g(f(3x))=g(5(3x)-4)=g(15x-4)

Now we plug in 15x-4 in g(x)

g(f(h(x)))=g(f(3x))=g(5(3x)-4)=g(15x-4)=5(15x-4)^3

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