Question

Let the functions be f: A → B and g: B → C, the composition of these two functions, that is, the composite of g with f is a function h: A → C, such that h(x) = g(f(x )). let the functions be f(x)=x²-1 and g(x)=2x+2 what is the value of the composites

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Answer to a math question Let the functions be f: A → B and g: B → C, the composition of these two functions, that is, the composite of g with f is a function h: A → C, such that h(x) = g(f(x )). let the functions be f(x)=x²-1 and g(x)=2x+2 what is the value of the composites

$Expert avatar$

Ali

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70 Answers

1. Determine

f(x)

f(x) = x^2 - 1

2. Substitute

f(x)

into

g(x)

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

3. Simplify the expression:

2(x^2 - 1) + 2 = 2x^2 - 2 + 2 = 2x^2

Therefore,

h(x) = 2x^2

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Let the functions be f: A → B and g: B → C, the composition of these two functions, that is, the composite of g with f is a function h: A → C, such that h(x) = g(f(x )). let the functions be f(x)=x²-1 and g(x)=2x+2 what is the value of the composites

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