1
AP EAPCET 2021 - 20th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

Let $$f(x)=(x+2)^2-2, x \geq-2$$. Then, $$f^{-1}(x)$$ is equal to

A
$$-\sqrt{2+x}-2$$
B
$$\sqrt{2+x}+2$$
C
$$\sqrt{2+x}-2$$
D
$$-\sqrt{2+x}+2$$
2
AP EAPCET 2021 - 20th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $$f$$ is the greatest integers function defined on $$R$$ as $$f(x)=[x]$$ and $$g$$ is the modulus function defined on $R$ as $$g(x)=|x|$$, then the value of $$(g \circ f)\left(\frac{-5}{3}\right)$$ is

A
1
B
2
C
3
D
4
3
AP EAPCET 2021 - 20th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $$f: R \rightarrow R$$ and $$g: R \rightarrow R$$ are two functions defined by $$f(x)=a x+b(a \neq 0), \forall x \in R$$ and $$g(x)=c x^3+d(c \neq 0), \forall x \in R$$, then $$(f \circ g)^{-1}(x)$$ is equal to

A
$$\left(\frac{x-a d+b}{a c}\right)^{\frac{1}{2}}$$
B
$$\left(\frac{x+a d-b}{a c}\right)^{\frac{1}{3}}$$
C
$$\left(\frac{x-a d-b}{a c}\right)^{\frac{1}{3}}$$
D
$$\left(\frac{x+a d+b}{a c}\right)^{\frac{1}{3}}$$
4
AP EAPCET 2021 - 20th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $$f(10-x)=3 x^2+4 x-5$$ and $$f(x)=p x^2+q x+r$$, then $$p+q+r$$ is equal to

A
272
B
274
C
275
D
273

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