1
AP EAPCET 2021 - 20th August Morning Shift
+1
-0

Let $$f(x)=x^3$$ and $$g(x)=3^x$$, then the quadratic equation whose roots are solutions of the equation $$(f \circ g)(x)=(g \circ f)(x)$$ (for $$x \neq 0$$) is

A
$$x^2-6 x+3=0$$
B
$$x^2-6 x+9=0$$
C
$$x^2-x+3=0$$
D
$$x^2-3=0$$
2
AP EAPCET 2021 - 19th August Evening Shift
+1
-0

The real valued function $$f(x)=\frac{x}{e^x-1}+\frac{x}{2}+1$$ defined on $$R /\{0\}$$ is

A
an odd function
B
an even function
C
Both even and odd function
D
Neither even nor odd function
3
AP EAPCET 2021 - 19th August Evening Shift
+1
-0

The domain of the function $$f(x)=\frac{1}{[x]-1}$$, where $$[x]$$ is greatest integer function of $$x$$ is

A
$$R-(1,2)$$
B
$$R-\{1\}$$
C
$$R-\{0,1\}$$
D
$$R-[1,2)$$
4
AP EAPCET 2021 - 19th August Evening Shift
+1
-0

Let $$f: R \rightarrow R$$ be a function defined by $$f(x)=\frac{4^x}{4^x+2}$$, what is the value of $$f\left(\frac{1}{4}\right)+2 f\left(\frac{1}{2}\right)+f\left(\frac{3}{4}\right)$$ is equal to

A
4
B
3
C
2
D
1
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