https://peda.net/id/31bf2430db6 2019-09-20T09:02:14+03:00 https://peda.net/:static/535/peda.net.logo.bg.svg <div class="license">Tämän sivun lisenssi <a rel="license" href="https://peda.net/info">Peda.net-yleislisenssi</a></div> https://peda.net/id/e6bf1816df5 2019-09-25T08:39:54+03:00 a)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(x%5Cright)%3D%5Cfrac%7B12x%5E3%7D%7B4x%7D" alt="f\left(x\right)=\frac{12x^3}{4x}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=m%C3%A4%C3%A4rittelyehto%3A%5C%204x%5Cne0%5C%20" alt="määrittelyehto:\ 4x\ne0\ "/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%5Cne0" alt="x\ne0"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(x%5Cright)%3D%5Cfrac%7B4x%5Cleft(3x%5E2%5Cright)%7D%7B4x%7D%3D3x%5E2%7B%2C%7D%5C%20x%5Cne0" alt="f\left(x\right)=\frac{4x\left(3x^2\right)}{4x}=3x^2{,}\ x\ne0"/><br/> b)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(x%5Cright)%3D%5Cfrac%7B3x%5E2%2B6x%7D%7B3x%7D" alt="f\left(x\right)=\frac{3x^2+6x}{3x}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=3x%5Cne0" alt="3x\ne0"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%5Cne0" alt="x\ne0"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(x%5Cright)%3D%5Cfrac%7B3x%5Cleft(x%2B2%5Cright)%7D%7B3x%7D%3Dx%2B2%7B%2C%7D%5C%20x%5Cne0" alt="f\left(x\right)=\frac{3x\left(x+2\right)}{3x}=x+2{,}\ x\ne0"/><br/> c)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(x%5Cright)%3D%5Cfrac%7B4x%7D%7B4x%2B2%7D" alt="f\left(x\right)=\frac{4x}{4x+2}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=4x%2B2%5Cne0" alt="4x+2\ne0"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%5Cne-%5Cfrac%7B1%7D%7B2%7D" alt="x\ne-\frac{1}{2}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(x%5Cright)%3D%5Cfrac%7B2%5Cleft(2x%5Cright)%7D%7B2%5Cleft(2x%2B1%5Cright)%7D%3D%5Cfrac%7B2x%7D%7B2x%2B1%7D%7B%2C%7D%5C%20x%5Cne-%5Cfrac%7B1%7D%7B2%7D" alt="f\left(x\right)=\frac{2\left(2x\right)}{2\left(2x+1\right)}=\frac{2x}{2x+1}{,}\ x\ne-\frac{1}{2}"/><br/> d)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(x%5Cright)%3D%5Cfrac%7B3-x%7D%7Bx-3%7D" alt="f\left(x\right)=\frac{3-x}{x-3}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x-3%5Cne0" alt="x-3\ne0"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%5Cne3" alt="x\ne3"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(x%5Cright)%3D%5Cfrac%7B3-x%7D%7Bx-3%7D%3D%5Cfrac%7B3-x%7D%7B-1%5Cleft(3-x%5Cright)%7D%3D%5Cfrac%7B1%7D%7B-1%7D%3D-1" alt="f\left(x\right)=\frac{3-x}{x-3}=\frac{3-x}{-1\left(3-x\right)}=\frac{1}{-1}=-1"/></div> 2019-09-25T08:39:54+03:00 https://peda.net/id/f90eadecdb7 2019-09-20T09:57:55+03:00 a)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(x%5Cright)%3D%5Cfrac%7Bx%5E2-4%7D%7Bx-2%7D%7B%2C%7D%5C%20x%5Cne2" alt="f\left(x\right)=\frac{x^2-4}{x-2}{,}\ x\ne2"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(x%5Cright)%3D%5Cfrac%7B%5Cleft(x-2%5Cright)%5E2%7D%7Bx-2%7D%3Dx-2%7B%2C%7D%5C%20%5C%20%5C%20%5C%20x%5Cne2" alt="f\left(x\right)=\frac{\left(x-2\right)^2}{x-2}=x-2{,}\ \ \ \ x\ne2"/><br/> <div>kuvaaja 4</div> b)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(x%5Cright)%3D%5Cfrac%7Bx%5E2-4x%2B4%7D%7Bx-2%7D" alt="f\left(x\right)=\frac{x^2-4x+4}{x-2}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(x%5Cright)%3D%5Cfrac%7B%5Cleft(x-2%5Cright)%5Cleft(x%2B2%5Cright)%7D%7Bx-2%7D%3Dx%2B2%7B%2C%7D%5C%20%5C%20%5C%20x%5Cne2" alt="f\left(x\right)=\frac{\left(x-2\right)\left(x+2\right)}{x-2}=x+2{,}\ \ \ x\ne2"/><br/> kuvaaja 2<br/> c)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(x%5Cright)%3D%5Cfrac%7Bx%5E2-2x%7D%7Bx%7D%3D%5Cfrac%7Bx%5Cleft(x-2%5Cright)%7D%7Bx%7D%3Dx-2%7B%2C%7D%5C%20%5C%20%5C%20x%5Cne0" alt="f\left(x\right)=\frac{x^2-2x}{x}=\frac{x\left(x-2\right)}{x}=x-2{,}\ \ \ x\ne0"/> <br/> kuvaaja 3<br/> d)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(x%5Cright)%3D%5Cfrac%7B2x-4%7D%7B2%7D%3D%5Cfrac%7B2%5Cleft(x-2%5Cright)%7D%7B2%7D%3Dx-2" alt="f\left(x\right)=\frac{2x-4}{2}=\frac{2\left(x-2\right)}{2}=x-2"/><br/> kuvaaja 1 2019-09-20T09:57:55+03:00 https://peda.net/id/0732ef84db6 2019-09-20T09:08:13+03:00 a)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%5C%20%5Cne-3" alt="x\ \ne-3"/><br/> b)<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(x%5Cright)%3D%5Cfrac%7Bx%5E2-9%7D%7Bx%2B3%7D" alt="f\left(x\right)=\frac{x^2-9}{x+3}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(x%5Cright)%3D%5Cfrac%7B%5Cleft(x-3%5Cright)%5Cleft(x%2B3%5Cright)%7D%7Bx%2B3%7D%3Dx-3%7B%2C%7D%5C%20%5C%20%5C%20x%5Cne-3" alt="f\left(x\right)=\frac{\left(x-3\right)\left(x+3\right)}{x+3}=x-3{,}\ \ \ x\ne-3"/> 2019-09-20T09:08:12+03:00