Question

I need help with a difficult math problem please help it’s 3parts to this problem I’ll post it in the question tab

Answer 1

The function is given as,

`\begin{gathered} f(x)=3x^2-7x+5 \\ g(x)=x^2+16 \end{gathered}`

( a )

`(f+g)(x)\text{ = f\lparen x\rparen + g\lparen x\rparen}`

Substituting the value of function we get,

`\begin{gathered} (f+g)(x)\text{ = 3x}^2-7x+5+x^2+16 \\ (f+g)(x)\text{ = 4x}^2-7x+21 \end{gathered}`

Thus the value of the f(x+g)(x) is,

`(f+g)(x)=4x^2-7x+21`

(b) The required value is,

`(f-g)(x)\text{ = f\lparen x\rparen-g\lparen x\rparen}`

Substituting the value of function,

`\begin{gathered} (f-g)(x)\text{ = \lparen3x}^2-7x+5)-(x^2+16) \\ (f-g)(x)\text{ = 3x}^2-7x+5-x^2-16 \\ (f-g)(x)\text{ = 2x}^2-7x-11 \\ \end{gathered}`

Thus the value of (f-g)(x) is,

`(f-g)(x)\text{ = 2x}^2-7x-11`

(c) The required value is,

`(f.g)(x)`

Substituting the value of function,