Questions
The range of the function
a
−∞,113
b
−∞,113
c
113,∞
d
113,∞
detailed solution
Correct option is C
f (x) is defined if 3x2 – 4x + 5 ≥ 0⇒3x2−43x+53≥0⇒3x−232+119≥0which is true for all real x∴ Domain ( f ) = (– ∞, ∞) Let y=3x2−4x+5⇒ y2 = 3x2 – 4x + 5 i.e. 3x2 – 4x + (5 – y2) = 0For x to be real, 16 – 12 (5 – y2) ≥ 0 ⇒y≥113∴ Range of y=113,∞Talk to our academic expert!
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Find the range of f(x)
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