Dada la función f(x) = 3x2 + 2x encuentre la imagen de1)F(5) 2) f( - 3) 3) f(0) 4) f( 2 / 5) 5) f( a + 1)6) f(2a - 3) 7) f( 1 + h ) - f(1) 8) 2f(3 + h) –f(6)​?

Respuesta : Para encontrar la imagen de la función simplemente reemplazamos a x por el valor que está entre paréntesis <img src="https://tex.z-dn.net/?f=%5Cbold%7Bf%28x%29%3D3x%5E2%2B2x%7D%5C%5C%5C%5C%5C%5C1%29f%285%29%3D3%285%29%5E2%2B2%285%29%5Cquad%5Cto%20f%285%29%3D3%2825%29%2B10%5Cquad%5Cto%20f%285%29%3D75%2B10%5Cquad%5Cto%20f%285%29%3D85%5C%5C%5C%5C%5C%5C2%29f%28-3%29%3D3%28-3%29%5E2%2B2%28-3%29%5Cto%20f%28-3%29%3D3%289%29-6%5Cto%20f%28-3%29%3D27-6%5Cto%20f%28-3%29%3D21%5C%5C%5C%5C%5C%5C3%29f%280%29%3D3%280%29%5E2%2B2%280%29%5Cquad%5Cto%20f%280%29%3D3%280%29%2B0%5Cquad%5Cto%20f%280%29%3D0%2B0%5Cquad%5Cto%20f%280%29%3D0%5C%5C%5C%5C%5C%5C4%29f%28%5Cfrac%7B2%7D%7B5%7D%29%3D3%28%5Cfrac%7B2%7D%7B5%7D%29%5E2%2B2%28%5Cfrac%7B2%7D%7B5%7D%29%5Cquad%5Cto%20f%28%5Cfrac%7B2%7D%7B5%7D%20%29%3D3%28%5Cfrac%7B4%7D%7B25%7D%29%2B%5Cfrac%7B4%7D%7B5%7D%5Cquad%5Cto%20f%28%5Cfrac%7B2%7D%7B5%7D%29%3D%5Cfrac%7B12%7D%7B25%7D%2B%5Cfrac%7B4%7D%7B5%7D%5Cquad%5Cto%20f%28%5Cfrac%7B2%7D%7B5%7D%29%3D%5Cfrac%7B32%7D%7B25%7D" /><img src="https://tex.z-dn.net/?f=5%29f%28a%2B1%29%3D3%28a%2B1%29%5E2%2B2%28a%2B1%29%5Cto%20f%285%29%3D3%28a%5E2%2B2a%2B1%29%2B2%28a%2B1%29%5C%5C%5C%5C%5Cto%20f%28a%2B1%29%3D3a%5E2%2B6a%2B3%2B2a%2B2%5Cquad%5Cto%20f%28a%2B1%29%3D3a%5E2%2B8a%2B6%5C%5C%5C%5C%5C%5C%5C%5C6%29f%282a-3%29%3D3%282a-3%29%5E2%2B2%282a-3%29%5Cto%20f%285%29%3D3%284a%5E2-6a%2B9%29%2B2%282a-3%29%5C%5C%5C%5C%5Cto%20f%282a-3%29%3D12a%5E2-18a%2B27%2B4a-6%5Cquad%5Cto%20f%282a-3%29%3D12a%5E2-14a%2B21" /><img src="https://tex.z-dn.net/?f=7%29f%281%2Bh%29-f%281%29%3D%5B3%281%2Bh%29%5E2%2B2%281%2Bh%29%5D-%5B3%281%29%5E2%2B2%281%29%5D%5C%5C%5C%5Cf%281%2Bh%29-f%281%29%3D%5B3%281%2B2h%2Bh%5E2%29%2B2%2B2h%5D-%5B3%2B2%5D%5C%5C%5C%5Cf%281%2Bh%29-f%281%29%3D%5B3%2B6h%2B3h%5E2%2B2%2B2h%5D-%5B5%5D%5C%5C%5C%5Cf%281%2Bh%29-f%281%29%3D%5B5%2B8h%2B3h%5E2%5D-%5B5%5D%5C%5C%5C%5Cf%281%2Bh%29-f%281%29%3D8h%2B3h%5E2" /><img src="https://tex.z-dn.net/?f=8%292f%283%2Bh%29-f%286%29%3D2%5B3%283%2Bh%29%5E2%2B2%283%2Bh%29%5D-%5B3%286%29%5E2%2B2%286%29%5D%5C%5C%5C%5C2f%283%2Bh%29-f%286%29%3D2%5B3%289%2B6h%2Bh%5E2%29%2B6%2B2h%5D-%5B3%2A36%2B12%5D%5C%5C%5C%5C2f%283%2Bh%29-f%286%29%3D2%5B27%2B18h%2B3h%5E2%2B6%2B2h%5D-%5B108%2B12%5D%5C%5C%5C%5C2f%283%2Bh%29-f%286%29%3D2%5B33%2B20h%2B3h%5E2%5D-%5B120%5D%5C%5C%5C%5C2f%283%2Bh%29-f%286%29%3D66%2B40h%2B6h%5E2-120%5C%5C%5C%5C2f%283%2Bh%29-f%286%29%3D-54%2B40h%2B6h%5E2" />Espero que te sirva, salu2!