Question

If f(x)= x² + 5x and g(x) = 3x + 2, finda. (f+g)(2) by evaluating f(2) and g(2).f(2)= g(2)=ƒ(2) + g(2) =b. (f+g)(x)=c. Evaluate your formula from part b at x = 2 to verify your answer to part a.(f+g)(2)=

Answer 1

Given:

f(x)= x² + 5x and g(x) = 3x + 2

Required:

To calculate

f(2)= g(2)=

(f+g)(x)=

(f+g)(2)=

Step-by-step explanation:

a)-

`\begin{gathered} f(2)=(x^2+5x)(2) \\ \\ =((2)^2+5(2)) \\ \\ =(4+10)=14 \\ \\ g(2)=(3x+2) \\ \\ =(3*2+2) \\ \\ =(6+2)=(8) \end{gathered}`

`\begin{gathered} f(2)+g(2) \\ \\ =(2^2+5*2)+(3*2+2) \\ \\ =(4+5*2)+(3*2+2) \\ \\ =(4+10)+(6+2) \\ \\ =(14)+(8) \\ \\ =22 \end{gathered}`

b)-

`\begin{gathered} f(x)+g(x) \\ \\ f(x)+g(x)=(x^2+5x)+(3x+2) \\ \\ determine\text{ the sign} \\ \\ x^2+5x+3x+2 \\ \\ \\ x^2+8x+2 \end{gathered}`

c)-

`\begin{gathered} (f+g)(x) \\ \\ (x^2+5x+3x+2)(2) \\ \\ (x^2+8x+2)(2) \\ \\ ((2)^2+8(2)+2) \\ \\ (4+16+2) \\ \\ (22) \end{gathered}`

Required answer:

`\begin{gathered} a)-22\text{ } \\ \\ b)-x^2+8x+2 \\ \\ c)-22 \end{gathered}`