1
AP EAPCET 2021 - 19th August Morning Shift
+1
-0

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

A
$$2 x^2-3$$
B
$$4 x^2+4 x-1$$
C
$$4 x^2+4 x+1$$
D
$$2 x^2-4$$
2
AP EAPCET 2021 - 19th August Morning Shift
+1
-0

Given, the function $$f(x)=\frac{a^x+a^{-x}}{2},(a>2)$$, then $$f(x+y)+f(x-y)$$ is equal to

A
$$f(x)-f(y)$$
B
$$f(y)$$
C
$$2 f(x) f(y)$$
D
$$f(x) f(y)$$
3
AP EAPCET 2021 - 19th August Morning Shift
+1
-0

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 $$\rightarrow([\cdot]$$ greatest integer function)

A
$$x$$
B
$$-x$$
C
$$4x$$
D
$$2x$$
4
AP EAPCET 2021 - 19th August Morning Shift
+1
-0

If $${({x^2} + 5x + 5)^{x + 5}} = 1$$, then the number of integers satisfying this equation is

A
2
B
3
C
4
D
5
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