# Functions · Mathematics · MHT CET

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MHT CET 2023 14th May Evening Shift
If $$\mathrm{f}(x)=\frac{2 x-3}{3 x-4}, x \neq \frac{4}{3}$$, then the value of $$\mathrm{f}^{-1}(x)$$ is
MHT CET 2023 14th May Morning Shift
The range of the function $$\mathrm{f}(x)=\frac{x^2}{x^2+1}$$ is
MHT CET 2023 14th May Morning Shift
The function $$\mathrm{f}(x)=[x] \cdot \cos \left(\frac{2 x-1}{2}\right) \pi$$, where $$[\cdot]$$ denotes the greatest integer function, is discontinu...
MHT CET 2023 13th May Evening Shift
The domain of the definition of the function $$y(x)$$ is given by the equation $$2^x+2^y=2$$ is
MHT CET 2023 13th May Morning Shift
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
MHT CET 2023 12th May Evening Shift
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...
MHT CET 2023 12th May Morning Shift
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
MHT CET 2023 12th May Morning Shift
The approximate value of $$\sin \left(60^{\circ} 0^{\prime} 10^{\prime \prime}\right)$$ is (given that $$\sqrt{3}=1.732,1^{\circ}=0.0175^{\circ}$$ )...
MHT CET 2023 11th May Evening Shift
If $$\mathrm{f}(x)=\frac{3 x+4}{5 x-7}$$ and $$\mathrm{g}(x)=\frac{7 x+4}{5 x-3}$$, then $$\mathrm{f}(\mathrm{g}(x))=$$
MHT CET 2023 11th May Morning Shift
The domain of the function given by $$2^x+2^y=2$$ is
MHT CET 2023 10th May Evening Shift
Let $$\mathrm{f}(x)=\mathrm{e}^x-x$$ and $$\mathrm{g}(x)=x^2-x, \forall x \in \mathrm{R}$$, then the set of all $$x \in \mathrm{R}$$, where the functi...
MHT CET 2023 10th May Morning Shift
$$\mathrm{f}: \mathrm{R} \rightarrow \mathrm{R} ; \mathrm{g}: \mathrm{R} \rightarrow \mathrm{R}$$ are two functions such that $$\mathrm{f}(x)=2 x-3, \... MHT CET 2023 9th May Morning Shift$$\mathrm{f}: \mathbb{R}-\left(-\frac{3}{5}\right) \rightarrow \mathbb{R}$$is defined by$$f(x)=\frac{3 x-2}{5 x+3}$$, then$$f \circ f(1)$$is... MHT CET 2023 9th May Morning Shift The number of discontinuities of the greatest integer function$$\mathrm{f}(x)=[x], x \in\left(-\frac{7}{2}, 100\right)$$MHT CET 2022 11th August Evening Shift If$$[x]$$is greatest integer function and$$2[2 x-5]-1=7$$, then$$x$$lies in MHT CET 2021 24th September Evening Shift If$$f(x)=2\{x\}+5 x$$, where$$\{x\}$$is fractional part function, then$$f(-1.4)$$is MHT CET 2021 24th September Morning Shift If$$f(x)=\frac{x}{2 x+1}$$and$$g(x)=\frac{x}{x+1}$$, then$$(f \circ g)(x)=$$MHT CET 2021 23rd September Evening Shift The domain of the function$$\log _{10}\left(x^2-5 x+6\right)$$is MHT CET 2021 23th September Morning Shift Range of the function$$f(x)=3+2^x+4^x$$is MHT CET 2021 22th September Evening Shift If$$f(x)=[8 x]-3$$, where$$[x]$$is greatest integer function of$$x$$, then$$f(\pi)=$$(where$$\pi=3,14$$) MHT CET 2021 22th September Morning Shift The domain of the function$$f(x)=\sqrt{x-1}+\sqrt{6-x}$$is MHT CET 2021 21th September Morning Shift If f(x) = 3[x] + 5{x + 1}, where [x] is greatest integer function of x and {x} is fractional part function of x, then f($$-$$1.32) = MHT CET 2021 20th September Evening Shift Let$$A=[a, b, c, d], B=[1,2,3]$$. Relation$$R_1, R_2, R_3, R_4$$are as follows :$$\begin{aligned} & R_1=[(\mathrm{a}, 1),(\mathrm{b}, 2),(\mathrm{...
MHT CET 2021 20th September Morning Shift
The domain of the function $$f(x)=\frac{1}{\sqrt{x+|x|}}$$ is
MHT CET 2020 16th October Morning Shift
The approximate value of the function $$f(x)=x^3-3 x+5$$ at $$x=1.99$$ is
MHT CET 2020 16th October Morning Shift
If $$f(x)=\frac{2 x+3}{3 x-2}, x \neq \frac{2}{3}$$, then the function $$f$$ of is
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