# Functions · Mathematics · AP EAPCET

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AP EAPCET 2021 - 20th August Morning Shift
$$f(x)=\sin x+\cos x \cdot g(x)=x^2-1$$, then $$g(f(x))$$ is invertible if
AP EAPCET 2021 - 20th August Morning Shift
If $$f: z \rightarrow z$$ is defined by $$f(x)=x^9-11 x^8-2 x^7+22 x^6+x^4 -12 x^3+11 x^2+x-3, \forall x \in z$$, then $$f(11)$$ is equal to
AP EAPCET 2021 - 20th August Morning Shift
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 $$x \n... AP EAPCET 2021 - 19th August Evening Shift The real valued function$$f(x)=\frac{x}{e^x-1}+\frac{x}{2}+1$$defined on$$R /\{0\}$$is AP EAPCET 2021 - 19th August Evening Shift The domain of the function$$f(x)=\frac{1}{[x]-1}$$, where$$[x]$$is greatest integer function of$$x$$is AP EAPCET 2021 - 19th August Evening Shift Let$$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}\...
AP EAPCET 2021 - 19th August Morning Shift
Let $$f: R \rightarrow R$$ and $$g: R \rightarrow R$$ be defined by $$f(x)=2 x+1$$ and $$g(x)=x^2-2$$ determine $$(g \circ f)(x)$$ is equal to
AP EAPCET 2021 - 19th August Morning Shift
Given, the function $$f(x)=\frac{a^x+a^{-x}}{2},(a>2)$$, then $$f(x+y)+f(x-y)$$ is equal to
AP EAPCET 2021 - 19th August Morning Shift
If $$f$$ is a function defined on $$(0,1)$$ by $$f(x)=\min \{x-[x],-x-[x]\}$$, then $$(f \circ f o f o f)(x)$$ is equal to $$\rightarrow([\cdot]$$ gre...
AP EAPCET 2021 - 19th August Morning Shift
If $${({x^2} + 5x + 5)^{x + 5}} = 1$$, then the number of integers satisfying this equation is
AP EAPCET 2021 - 19th August Morning Shift
If $$\frac{x^4}{(x-1)(x-2)}=f(x)+\frac{A}{x-1}+\frac{B}{x-2}$$, then
AP EAPCET 2021 - 19th August Morning Shift
Which statement among the following is true? (i) the function $$f(x)=x|x|$$ is strictly increasing on $$R-\{0\}$$. (ii) the function f(x)=\log _{(1 ...
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