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Grade: 12

                        

Let f, g: R → R be defined by f(x) = 2x + 1 and g (x) = x^2 – 2, ∀ x ∈ R, respectively. Then, find g o f.

 Let f, g: R → R be defined by f(x) = 2x + 1 and g (x) = x^2 – 2, ∀ x ∈ R, respectively. Then, find g o f. 

4 months ago

Answers : (1)

Anand Kumar Pandey
askIITians Faculty
4222 Points
							Dear Student

Given,
f(x)=2x+1and g(x)=x^2–2,∀x∈R
Thus, g o f = g (f (x))

= g (2x + 1)
=(2x+1^)2–2
=4x^2+4x+1–2
=4x^2+4x-1

Thanks
4 months ago
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