F x - x -1 and g x - x 2-2 - Find gof -1-2-1-A- none of theseB- 0-2C- -0-1-D- -2-0-

The correct option is D [ 2, 0]Option (d) gof (x) = g(f(x))= g(x+1) = (x+1)2 2= x2 +2x 1 2 ≤x2 +2x 1≤ 1 1≤x2 +2x≤0 x(x+2) ≤0 2 ≤ x ≤ 0 [ 2,0] ...

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Quantitative Aptitude

Functions

f x = x +1 an...

Question

f(x)= x+1 and g(x)= x² -2. Find(gof)^-1([-2,-1])

(0,-2)

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[0,-1]

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[-2, 0]

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none of these

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Solution

The correct option is C [-2, 0]
Option (d)

gof (x) = g(f(x))= g(x+1) = (x+1)²-2= x² +2x -1

-2 ≤x² +2x -1≤-1

-1≤x² +2x≤0

x(x+2) ≤0

- 2 ≤ x ≤ 0

[-2,0]

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f(x)= x+1 and g(x)= x2 -2. Find(gof)-1([-2,-1])

The correct option is C [-2, 0]Option (d) gof (x) = g(f(x))= g(x+1) = (x+1)2-2= x2 +2x -1 -2 ≤x2 +2x -1≤-1 -1≤x2 +2x≤0 x(x+2) ≤0 - 2 ≤ x ≤ 0 [-2,0]

f(x)= x+1 and g(x)= x² -2. Find(gof)^-1([-2,-1])

The correct option is C [-2, 0]
Option (d)

gof (x) = g(f(x))= g(x+1) = (x+1)²-2= x² +2x -1

-2 ≤x² +2x -1≤-1

-1≤x² +2x≤0

x(x+2) ≤0

- 2 ≤ x ≤ 0

[-2,0]