Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What is (f−g)(x)(f - g)(x)?\newlinef(x)=x2+4xf(x) = x^2 + 4x\newlineg(x)=4xg(x) = 4x\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Add and subtract functionsright chevron icon

Full solution

Q. What is (f−g)(x)(f - g)(x)?\newlinef(x)=x2+4xf(x) = x^2 + 4x\newlineg(x)=4xg(x) = 4x\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______
  1. Write Functions: Write down the given functions.\newlinef(x)=x2+4xf(x) = x^2 + 4x\newlineg(x)=4xg(x) = 4x
  2. Set up Expression: Use the definition of (f−g)(x)(f - g)(x) to set up the expression.(f−g)(x)=f(x)−g(x)(f - g)(x) = f(x) - g(x)
  3. Substitute Functions: Substitute the given functions into the expression.\newline(f−g)(x)=(x2+4x)−(4x)(f - g)(x) = (x^2 + 4x) - (4x)
  4. Simplify Expression: Simplify the expression by distributing the negative sign and combining like terms.\newline(f−g)(x)=x2+4x−4x(f - g)(x) = x^2 + 4x - 4x\newline(f−g)(x)=x2(f - g)(x) = x^2

More problems from Add and subtract functions

Question
What is the midline equation of the function\newlineh(x)=−3cos⁡(πx+2)−6? h(x)=-3 \cos (\pi x+2)-6 ? \newliney= y=
Get tutor helpright-arrow

Posted 3 months ago

Question
−2i⋅(2+6i)= -2 i \cdot(2+6 i)= \newlineYour answer should be a complex number in the form a+bi a+b i where a a and b b are real numbers.
Get tutor helpright-arrow

Posted 3 months ago

Question
(4)+(14−4i)= (4)+(14-4 i)= \newlineExpress your answer in the form (a+bi) (a+b i) .
Get tutor helpright-arrow

Posted 3 months ago

Question
(−13+16i)−(3+4i)= (-13+16 i)-(3+4 i)= \newlineExpress your answer in the form (a+bi) (a+b i) .
Get tutor helpright-arrow

Posted 3 months ago

Question
(−30i)+(52−30i)= (-30 i)+(52-30 i)= \newlineExpress your answer in the form (a+bi) (a+b i) .
Get tutor helpright-arrow

Posted 3 months ago

Question
(−3+71i)+(9)= (-3+71 i)+(9)= \newlineExpress your answer in the form (a+bi) (a+b i) .
Get tutor helpright-arrow

Posted 3 months ago

Question
(12)−(23+13i)= (12)-(23+13 i)= \newlineExpress your answer in the form (a+bi) (a+b i) .
Get tutor helpright-arrow

Posted 3 months ago

Question
(7−10i)−(3+30i)= (7-10 i)-(3+30 i)= \newlineExpress your answer in the form (a+bi) (a+b i) .
Get tutor helpright-arrow

Posted 3 months ago

Question
(70+22i)−(71+70i)= (70+22 i)-(71+70 i)= \newlineExpress your answer in the form (a+bi) (a+b i) .
Get tutor helpright-arrow

Posted 3 months ago

Question
(21+2i)+(13+8i)= (21+2 i)+(13+8 i)= \newlineExpress your answer in the form (a+bi) (a+b i) .
Get tutor helpright-arrow

Posted 3 months ago

View all (43)