1
MHT CET 2023 13th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$3 \mathrm{f}(x)-\mathrm{f}\left(\frac{1}{x}\right)=8 \log _2 x^3, x>0$$, then $$\mathrm{f}(2), \mathrm{f}(4)$$, $$f(8)$$ are in

A
A.P.
B
G.P.
C
H.P.
D
Arithmetico Geometric Progression
2
MHT CET 2023 12th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$\mathrm{f}(x)=x^2+1$$ and $$\mathrm{g}(x)=\frac{1}{x}$$, then the value of $$\mathrm{f}(\mathrm{g}(\mathrm{g}(\mathrm{f}(x))))$$ at $$x=1$$ is

A
4
B
1
C
5
D
3
3
MHT CET 2023 12th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

If $$\mathrm{g}(x)=1+\sqrt{x}$$ and $$\mathrm{f}(\mathrm{g}(x))=3+2 \sqrt{x}+x$$ then $$\mathrm{f}(\mathrm{f}(x))$$ is

A
$$x^2+4 x+6$$
B
$$x^4+x^2+6$$
C
$$x^2+x+6$$
D
$$x^4+4 x^2+6$$
4
MHT CET 2023 11th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

If $$\mathrm{f}(x)=\frac{3 x+4}{5 x-7}$$ and $$\mathrm{g}(x)=\frac{7 x+4}{5 x-3}$$, then $$\mathrm{f}(\mathrm{g}(x))=$$

A
$$\frac{x^3+1}{x^2+2}$$
B
$$41 x$$
C
$$\mathrm{g}(\mathrm{f}(x))$$
D
$$\frac{5 x-7}{41}$$

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