Number of integers in the range of function f(x)= log (1/2)(x-(1/2))+ log 2(√4 x2-4 x+1) is (are)

Question

Number of integers in the range of function f(x)= log (1/2)(x-(1/2))+ log 2(√4 x2-4 x+1) is (are) (A) 1 (B) 2 (C) 3 (D) more than 4

Tardigrade Admin · Accepted Answer

f(x)= log 2(x-(1/2))-1+ log 2(√(2 x-1)2) f(x)=- log 2(x-(1/2))+ log 2(2 x-1) f(x)=- log 2(x-(1/2))+ log 2(2(x-(1/2))) f(x)=- log 2(x-(1/2))+ log 2 2+ log 2(x-(1/2)) f(x)=1 text , so the range of f(x) text is 1

Q. Number of integers in the range of function f(x)=log21​​(x−21​)+log2​(4x2−4x+1​) is (are)

1

2

3

more than 4

f(x)=log2​(x−21​)−1+log2​((2x−1)2​) f(x)=−log2​(x−21​)+log2​(2x−1) f(x)=−log2​(x−21​)+log2​(2(x−21​)) f(x)=−log2​(x−21​)+log2​2+log2​(x−21​) f(x)=1, so the range of f(x) is {1}

Q. Number of integers in the range of function $f (x) = lo g_{\frac{1}{2}} (x - \frac{1}{2}) + lo g_{2} (4 x^{2} - 4 x + 1)$ is (are)