If f: {R} \to {R} is defined as f(x)=\log _{2}(\frac{3 \sin x-4 \cos x+15}{10}), then:

If range of f(x) also satisfies the inequality -t^{2}-2 a t+a

Minimum value of g(x)= {1}/{\sin ^{4} x+\cos ^{4} x} defined on real numbers is equal to maximum value of f(x)

JEE Advanced 2020 Concept Recapitulation Test 4 Paper 1

Question : 43 of 54

Marks: +1, -0

If f:R→R is defined as f(x)=log2(‌

3‌sin‌x−4‌cos‌x+15

), then:

f(x) is not injective
f(x) is surjective
If range of f(x) also satisfies the inequality −t2−2at+a<0, then a∈(−1,0)
Minimum value of g(x)=‌
1
sin4x+cos4x
defined on real numbers is equal to maximum value of f(x)

Go to Question:

Prev Question

Next Question