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, ∞)
Create a free account to view solution
View Solution FreeMore Function Questions
If f(x) is negative & 2f(sinx) + √2 f(-cosx) = - tanx,then value of f (1/2) is...The domain of the function f(x) = x! is -...The graph of the function y = f(x) is as shown in the figure. Then which of the following could represent the graph of t...If S is the set of all real x such that is positive, then S contains...The range of 5 cos x − 12 sin x + 7 is -...