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f(5)\(=\)\(\dfrac{12}{5}=2,4\)
f(-3)\(=\)\(\dfrac{12}{-3}=-4\)
cho hàm số y=f(x)=12x12x
Tính f(5);f(-3)
Bài làm
f(5) = 12 : 5 = 2,4
f(-3) = 12 : (-3) = -4
![](https://rs.olm.vn/images/avt/0.png?1311)
\(y=f\left(x\right)=\dfrac{5}{x-1}\)
a) ĐKXĐ khi: \(x-1\ne0\) \(\Leftrightarrow x\ne1\)
b)
\(y=f\left(-2\right)=\dfrac{5}{-2-1}=\dfrac{5}{-\left(2+1\right)}=\dfrac{5}{-3}=\dfrac{-5}{3}\)
\(y=f\left(\dfrac{1}{3}\right)=\dfrac{5}{\dfrac{1}{3}-1}=\dfrac{5}{\dfrac{1}{3}-\dfrac{3}{3}}=\dfrac{5}{\dfrac{-2}{3}}=\dfrac{-15}{2}\)
c)
* \(y=f\left(x\right)=\dfrac{5}{x-1}=-1\)
\(\Rightarrow x-1=5:\left(-1\right)\)
\(\Rightarrow x-1=-5\)
\(\Rightarrow x=-5+1\)
\(\Rightarrow x=-\left(5-1\right)\)
\(\Rightarrow x=-4\)
Vậy \(y=-1\) thì \(x=-4\)
* \(y=f\left(x\right)=\dfrac{5}{x-1}=1\)
\(\Rightarrow x-1=5:1\)
\(\Rightarrow x-1=5\)
\(\Rightarrow x=5+1\)
\(\Rightarrow x=6\)
Vậy \(y=1\) thì \(x=6\)
* \(y=f\left(x\right)=\dfrac{5}{x-1}=\dfrac{1}{5}\)
\(\Rightarrow x-1=5:\dfrac{1}{5}\)
\(\Rightarrow x-1=5.5\)
\(\Rightarrow x-1=25\)
\(\Rightarrow x=25+1\)
\(\Rightarrow x=26\)
Vậy \(y=\dfrac{1}{5}\) thì \(x=26\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(y=f\left(x\right)=1-5x\)
\(y=f\left(1\right)=1-5.1=1-5=-4\)
\(y=f\left(-2\right)=1-5.\left(-2\right)=1-\left(-10\right)=1+10=11\)
\(y=f\left(\dfrac{1}{5}\right)=1-5.\dfrac{1}{5}=1-1=0\)
\(y=f\left(\dfrac{-3}{5}\right)=1-5.\left(\dfrac{-3}{5}\right)=1-\left(-3\right)=1+3=4\)
b) \(y=f\left(x\right)=1-5x=-4\)
\(\Rightarrow5x=1-\left(-4\right)\)
\(\Rightarrow5x=1+4\)
\(\Rightarrow5x=5\)
\(\Rightarrow x=\dfrac{5}{5}=1\)
Vậy \(f\left(x\right)=-4\) thì \(x=1\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a: \(f\left(-1\right)=3-7=-4\)
\(f\left(\dfrac{1}{5}\right)=\dfrac{3}{25}-7=\dfrac{-172}{25}\)
b: f(x)=-20/3
\(\Leftrightarrow3x^2-7=-\dfrac{20}{3}\)
\(\Leftrightarrow3x^2=\dfrac{1}{3}\)
\(\Leftrightarrow x^2=\dfrac{1}{9}\)
=>x=1/3 hoặc x=-1/3
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(y=f\left(x\right)=\dfrac{6}{x}\)
*) \(f\left(1\right)=\dfrac{6}{1}=6\Rightarrow y=f\left(1\right)=6\)
*) \(f\left(1.5\right)=\dfrac{6}{1.5}=1,2\Rightarrow y=f\left(1.5\right)=1,2\)
*) \(f\left(3\right)=\dfrac{6}{3}=2\Rightarrow y=f\left(3\right)=2\)
*) \(f\left(-\dfrac{2}{3}\right)=\dfrac{6}{-\dfrac{2}{3}}=-9\Rightarrow y=f\left(-\dfrac{2}{3}\right)=-9\)
b) \(x:y=3\)
Tại \(y=-2\)
\(\Rightarrow x:\left(-2\right)=3\)
\(\Rightarrow x=3.\left(-2\right)\)
\(\Rightarrow x=-6\)
Vậy \(x=-6\)
- Xin lỗi ☹ làm lại cậu b cho ~ tại đề bài không rõ
b) \(y=f\left(x\right)=\dfrac{6}{x}\)
*)Tại y=3 \(\Rightarrow3=\dfrac{6}{x}\) \(\Rightarrow x=2\)
Vậy tại y = 3 thì x = 2
*) Tại y = -2 \(\Rightarrow-2=\dfrac{6}{x}\Rightarrow x=-3\)
Vậy tại y = -2 thì x = -3
![](https://rs.olm.vn/images/avt/0.png?1311)
\(f\left(1\right)=-\dfrac{3}{2}.1=-\dfrac{3}{2}\)
\(f\left(-1\right)=-\dfrac{3}{2}.\left(-1\right)=\dfrac{3}{2}\)
\(f\left(2\right)=-\dfrac{3}{2}.2=-3\)
\(f\left(-2\right)=-\dfrac{3}{2}.\left(-2\right)=3\)
\(f\left(\dfrac{1}{2}\right)=-\dfrac{3}{2}.\dfrac{1}{2}=\dfrac{-3}{4}\)
\(f\left(-\dfrac{1}{2}\right)=-\dfrac{3}{2}.\left(-\dfrac{1}{2}\right)=\dfrac{3}{4}\)
\(f\left(a\right)< f\left(-a\right)\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a,
f(-1) = |1 - (-1)| + 2 = 4
f(\(\dfrac{3}{2}\)) = \(\left|1-\dfrac{3}{2}\right|+2=\dfrac{5}{2}\)
b,
f(x) = 5
<=> |1-x| + 2 = 5
<=> |1-x| = 3
<=> \(\left[{}\begin{matrix}1-x=3\\1-x=-3\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-2\\x=4\end{matrix}\right.\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(f\left(x\right)=2x+\dfrac{1}{2}\)
a) \(f\left(0\right)=2.0+\dfrac{1}{2}=0+\dfrac{1}{2}=\dfrac{1}{2}\)
b) \(f\left(\dfrac{1}{2}\right)=2.\dfrac{1}{2}+\dfrac{1}{2}=1+\dfrac{1}{2}=\dfrac{3}{2}\)
c) \(f\left(-2\right)=2.\left(-2\right)+\dfrac{1}{2}=-4+\dfrac{1}{2}=\dfrac{-7}{2}\)
f(x)=2x+12f(x)=2x+12
a) f(0)=2.0+12=0+12=12f(0)=2.0+12=0+12=12
b) f(12)=2.12+12=1+12=32f(12)=2.12+12=1+12=32
c) f(−2)=2.(−2)+12=−4+12=−72
![](https://rs.olm.vn/images/avt/0.png?1311)
a: f(0)=2
f(-1/2)=2-1/4=7/4
b: \(f\left(x-1\right)=2-\left(x-1\right)^2=2-\left(1-x\right)^2=f\left(1-x\right)\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 3:
a: f(-1)=-2
f(1/2)=1
b: f(x)=5
=>2x=5
=>x=5/2
c: f(5a)=2*5a=10a
5*f(a)=5*2a=10a
=>f(5a)=5*f(a)
\(f\left(5\right)=\dfrac{12}{5}\) ; \(f\left(-3\right)=\dfrac{12}{-3}=-4\)