Simplify the expression2x2+5x+2x2+2x−3÷x2+4x+42x2−3x+12𝑥2+5𝑥+2𝑥2+2𝑥-3÷𝑥2+4𝑥+42𝑥2-3𝑥+1 and give your answer in the form off(x)g(x).𝑓(𝑥)𝑔(𝑥). Your answer for the function f(x)𝑓(𝑥) is :  Your answer for the function g(x)𝑔(𝑥) is :

𝑓(𝑥)=2𝑥2+6𝑥−4f(x)=2x 2 +6x−4𝑔(𝑥)=5𝑥3−6𝑥2−3g(x)=5x 3 −6x 2 −3Find (𝑓+𝑔)(𝑥)(f+g)(x).A.(𝑓+𝑔)(𝑥)=5𝑥3−4𝑥2+6𝑥−7(f+g)(x)=5x 3 −4x 2 +6x−7B.(𝑓+𝑔)(𝑥)=5𝑥3+2𝑥2−7(f+g)(x)=5x 3 +2x 2 −7C.(𝑓+𝑔)(𝑥)=−5𝑥3+8𝑥2+6𝑥−1(f+g)(x)=−5x 3 +8x 2 +6x−1D.(𝑓+𝑔)(𝑥)=7𝑥3−7(f+g)(x)=7x 3 −7SUBMITarrow_backPREVIOUS

If h is the function given by ℎ(𝑥)=(𝑓∘𝑔)(𝑥)h(x)=(f∘g)(x), where f(x) = 5x2 - 1 and g(x) = |x|, then h(x) =A.5|x| - 1B.5x - 1C.|5x2 - 1|D.5x2 - |x|E.5|x|2 - 1SUBMITarrow_backPREVIOUS

f(x)=4x 2 +5x−3𝑔(𝑥)=4𝑥3−3𝑥2+5g(x)=4x 3 −3x 2 +5Find (𝑓+𝑔)(𝑥)(f+g)(x).A.(𝑓+𝑔)(𝑥)=4𝑥3+𝑥2+5𝑥+2(f+g)(x)=4x 3 +x 2 +5x+2B.(𝑓+𝑔)(𝑥)=4𝑥3+4𝑥2+2𝑥+2(f+g)(x)=4x 3 +4x 2 +2x+2C.(𝑓+𝑔)(𝑥)=−4𝑥3+7𝑥2+5𝑥−8(f+g)(x)=−4x 3 +7x 2 +5x−8D.(𝑓+𝑔)(𝑥)=8𝑥3+2𝑥+2(f+g)(x)=8x 3 +2x+2SUBMITarrow_backPREVIOUS

Find an expression for:(𝑓𝑔)(𝑥)( gf​ )(x)left parenthesis, start fraction, f, divided by, g, end fraction, right parenthesis, left parenthesis, x, right parenthesisGiven the functions:𝑓(𝑥)=5𝑥+1𝑔(𝑥)=3𝑥−1f(x)g(x)​ =5x+1=3x−1​

Instructions: Multiply the polynomial expressions. (2x+3)(2x2−5x−5)(2𝑥+3)(2𝑥2−5𝑥−5)Question 10Select one:4x3−4x2−5x−154𝑥3−4𝑥2−5𝑥−154x3−4x2−25x−154𝑥3−4𝑥2−25𝑥−154x3+16x2−25x−154𝑥3+16𝑥2−25𝑥−1510x2−35x−15