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)=−2x2+3xf(x) = -2x^2 + 3x\newlineg(x)=−2xg(x) = -2x\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)=−2x2+3xf(x) = -2x^2 + 3x\newlineg(x)=−2xg(x) = -2x\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline______
  1. Identify formula: Identify the formula for (f∗g)(x)(f * g)(x).(f∗g)(x)(f * g)(x) is the product of f(x)f(x) and g(x)g(x).(f∗g)(x)=f(x)∗g(x)(f * g)(x) = f(x) * g(x)
  2. Define functions: We have:\newlinef(x)=−2x2+3xf(x) = -2x^2 + 3x\newlineg(x)=−2xg(x) = -2x\newlineNow, we need to multiply these two functions to find (f∗g)(x)(f * g)(x).\newline(f∗g)(x)=(−2x2+3x)∗(−2x)(f * g)(x) = (-2x^2 + 3x) * (-2x)
  3. Multiply functions: Distribute each term in f(x)f(x) by multiplying it with g(x)g(x).(f∗g)(x)=(−2x2∗−2x)+(3x∗−2x)(f * g)(x) = (-2x^2 * -2x) + (3x * -2x)
  4. Distribute terms: Perform the multiplication for each term.\newline(f∗g)(x)=4x3+(−6x2)(f * g)(x) = 4x^3 + (-6x^2)
  5. Perform multiplication: Combine like terms if there are any. In this case, there are no like terms to combine.\newlineSo, the final answer is:\newline(f∗g)(x)=4x3−6x2(f * g)(x) = 4x^3 - 6x^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 10 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 10 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 10 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 10 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 10 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 10 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 10 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 10 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 10 months ago

Question
(9+52i)−(1)= (9+52 i)-(1)= \newlineExpress your answer in the form (a+bi) (a+b i) .
Get tutor helpright-arrow

Posted 10 months ago

View all (43)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant