Question

find $(f+g)(x), (f-g)(x)$ for $f(x)$ and $g(x)$.$f(x)=2x + 1LXB0\bigcirc 3x - 2; x - 4;LXB1\bigcirc 3x - 2; x + 4$question 71 ptsfind $(fcdot g)(x)$ for $f(x)$ and $g(x)$.multiplication$f(x)=2x + 1$$g(x)=x - 3$$\bigcirc 2x^2 + 5x - 3$$\bigcirc 2x - 5$$\bigcirc 2x^2 - 5x - 3$$\bigcirc 2x - 2$

Explanation:

Step1: Calculate $(f+g)(x)$

$(f+g)(x) = f(x) + g(x) = (2x+1)+(x-3)$
$=2x+1+x-3=3x-2$

Step2: Calculate $(f-g)(x)$

$(f-g)(x) = f(x) - g(x) = (2x+1)-(x-3)$
$=2x+1-x+3=x+4$

Step3: Calculate $(f\cdot g)(x)$

$(f\cdot g)(x) = f(x)\cdot g(x) = (2x+1)(x-3)$
$=2x(x-3)+1(x-3)=2x^2-6x+x-3=2x^2-5x-3$

Answer:

For the first question: $\boldsymbol{3x - 2;\ x + 4}$
For Question 7: $\boldsymbol{2x^2 - 5x - 3}$