If g x - x2 - x - 2 and 1-2gof x - 2x2 - 5x - 2- then f x is

The correct option is A 2x 3 g(x)= x ^ 2 +x 2 1 2 g(f(x))=2 x ^ 2 +5x+2 ⇒ f^ 2 ( x ) +f(x) 2=4 x ^ 2 10x+4 ⇒ f^ 2 ( x ) +f(x) (4 x ^ ...

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Composite Function

If g x = x2...

Question

If $g (x) = x^{2} + x - 2$ and $\frac{1}{2} g o f (x) = 2 x^{2} + 5 x + 2$ , then $f (x)$ is

2 x - 3

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2 x + 3

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2 x^{2} + 3 x + 1

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2 x^{2} - 3 x - 1

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Solution

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Similar questions

g (x) = x^{2} + x - 2 and \frac{1}{2} g o f (x) = 2 x^{2} - 5 x + 2

2 x - 3

2 x + 3

2 x^{2} + 3 x + 1

x^{2} - 3 x - 1

2 x^{2} - 5 x + 1

- x^{3} - x^{2} - 3 x + 2

f (x) = 2 x^{4} - 5 x^{3} + x^{2} + 3 x - 2

g (x)

q (x) = 2 x^{2} - 5 x + 3

r (x) = - 2 x + 1

g (x)

f (x) = 2 x^{4} - 5 x^{3} + x^{2} + 3 x - 2

q (x) = 2 x^{2} - 5 x + 3 a n d r (x) = - 2 x + 1

g (x) = x^{2} + x - 2 a n d \frac{1}{2} (g o f) (x) = 2 x^{2} - 5 x + 2, t h e n f (x)

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