Respuesta :
Quadratic equation is the equation in which only one variable is unknown. The highest power of the variable is 2.The value of the given functions are,
[tex](h+k)(x)=5[/tex]
[tex](h-k)(x)=9[/tex]
[tex]3h(2)+2k(3)=17[/tex]
Given information-
The given function is,
[tex]h(x)=x^2+1[/tex]
[tex]k(x)=x-2[/tex]
Quadratic equation
Quadratic equation is the equation in which only one variable is unknown. The highest power of the variable is 2.
1) The value of the function (h+k)(2),
[tex](h+k)(x)=h(x)+k(x)[/tex]
[tex](h+k)(x)=x^2+1+x-2[/tex]
[tex](h+k)(2)=2^2+1+2-2[/tex]
[tex](h+k)(x)=5[/tex]
2)The value of the function (h-k)(3),
[tex](h-k)(x)=h(x)-k(x)[/tex]
[tex](h-k)(x)=x^2+1-x+2[/tex]
[tex](h-k)(3)=3^2+1-3+2[/tex]
[tex](h-k)(x)=9[/tex]
3) The value of the function 3h(2)+2k(3)
[tex]3h(x)+2k(x)=3x^2+3+2x-2\times 2[/tex]
[tex]3h(2)+2k(3)=3\times2^2+3+2\times2-2\times 2[/tex]
[tex]3h(2)+2k(3)=17[/tex]
Hence the value of the given functions are,
[tex](h+k)(x)=5[/tex]
[tex](h-k)(x)=9[/tex]
[tex]3h(2)+2k(3)=17[/tex]
Learn more about the quadratic equation here;
https://brainly.com/question/2263981
