f(x)=2x 2 +2x−1andg(x)=x 2 +5x+3find the value of x
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Answer:
This is a composite function.
Concept: For such a function, i.e g(f(x)), perform inner, and then outer. This means evaluate f(x) first. The value will be known as value V. Then perform g(V).
Essentially, g(f(x))= g(V), where f(x)= V where x and V are values
Application:
Inner: f(-1)= 2(-1)-1 = -2–1=-3
Outer: g(-3)= (-3)^2 + 3= 9+3= 12
Answer: 12
Hope this helps.
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