FunctionHard
Question
Range of f(x) = 4x + 2x + 1 is
Options
A.(0, ∞)
B.(1, ∞)
C.(2, ∞)
D.(3, ∞)
Solution
Range of f(x) = 4x + 2x + 1 is
Let 2x = t > 0, ∀ x ∈ R
∴ f(x) = g(t) = t2 + t + 1, t > 0
g(t) =
⇒ 
⇒ 
Range is (1, ∞)
Let 2x = t > 0, ∀ x ∈ R
∴ f(x) = g(t) = t2 + t + 1, t > 0
g(t) =
⇒ ⇒ Range is (1, ∞)
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