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)=2x2f(x) = 2x^2\newlineg(x)=x2+8xg(x) = x^2 + 8x\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)=2x2f(x) = 2x^2\newlineg(x)=x2+8xg(x) = x^2 + 8x\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). \newline(f−g)(x)(f - g)(x) is the difference of f(x)f(x) and g(x)g(x). \newline(f−g)(x)=f(x)−g(x)(f - g)(x) = f(x) - g(x)
  2. Substitute f(x)f(x) and g(x)g(x): We have: \newlinef(x)=2x2f(x) = 2x^2 \newlineg(x)=x2+8xg(x) = x^2 + 8x \newlineNow, substitute f(x)f(x) and g(x)g(x) into the formula for (f−g)(x)(f - g)(x). \newline(f−g)(x)=f(x)−g(x)(f - g)(x) = f(x) - g(x) \newline(f−g)(x)=2x2−(x2+8x)(f - g)(x) = 2x^2 - (x^2 + 8x)
  3. Distribute negative sign: Distribute the negative sign through the parentheses to simplify the expression. \newline(f−g)(x)=2x2−x2−8x(f - g)(x) = 2x^2 - x^2 - 8x
  4. Combine like terms: Combine like terms to get the final expression for (f−g)(x)(f - g)(x). \newline(f−g)(x)=(2x2−x2)−8x(f - g)(x) = (2x^2 - x^2) - 8x \newline(f−g)(x)=x2−8x(f - g)(x) = x^2 - 8x

More problems from Add and subtract functions

Question
Find the inverse of the function. y=x+3 y = x + 3 Write your answer in the form ax+b ax + b . Simplify any fractions. y= y = _____
Get tutor helpright-arrow

Posted 5 months ago

Question
Find (r∘s)(x)(r \circ s)(x).\newliner(x) = 33x\newlines(x) = 22x + 55\newlineWrite your answer as a polynomial in simplest form.\newline(r∘s)(x)=(r \circ s)(x) = ____
Get tutor helpright-arrow

Posted 8 months ago

Question
What is (f+g)(x)(f + g)(x)?\newlinef(x)=−3xf(x) = -3x\newlineg(x)=3x+1g(x) = 3x + 1\newline\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline‾\underline{\hspace{3cm}}\newline
Get tutor helpright-arrow

Posted 8 months ago

Question
What is (f∗g)(x)(f * g)(x)?\newlinef(x)=−x+4f(x) = -x + 4\newlineg(x)=4xg(x) = 4x\newline\newlineWrite your answer as a polynomial or a rational function in simplest form.\newline‾\underline{\hspace{3em}}\newline
Get tutor helpright-arrow

Posted 8 months ago

Question
What is the domain of (fg)(x)\left(\frac{f}{g}\right)(x)?\newlinef(x)=2xf(x) = 2x\newlineg(x)=−5x+3g(x) = -5x + 3\newlineChoices:\newline[A]All real numbers[\text{A]All real numbers}\newline[B]All real numbers except 35[\text{B]All real numbers except } \frac{3}{5}\newline[C]All real numbers except −35[\text{C]All real numbers except } -\frac{3}{5}\newline[D]All real numbers except 53[\text{D]All real numbers except } \frac{5}{3}
Get tutor helpright-arrow

Posted 9 months ago

Question
Find the inverse of the function.\newliney = −3x-3x \newlineWrite your answer in the form ax+bax + b. Simplify any fractions.\newliney = ______
Get tutor helpright-arrow

Posted 8 months ago

Question
Find (f∘g)(0)(f \circ g)(0).\newlinef(x)=6xf(x) = 6x\newlineg(x)=x2+4xg(x) = x^2 + 4x\newline(f∘g)(0)=(f \circ g)(0) = ____
Get tutor helpright-arrow

Posted 8 months ago

Question
Find (f∘g)(x)(f \circ g)(x).\newlinef(x)=x2+5f(x) = x^2 + 5\newlineg(x)=4xg(x) = 4x\newlineWrite your answer as a polynomial in simplest form.\newline(f∘g)(x)=(f \circ g)(x) = ______
Get tutor helpright-arrow

Posted 8 months ago

Question
Is f(x) f(x) the inverse function of g(x) g(x) ?\newlinef(x)=x f(x) = x \newlineg(x)=−4x g(x) = -4x \newlineChoices:\newline[yes] \text{[yes]} \newline[no] \text{[no]}
Get tutor helpright-arrow

Posted 8 months ago

Question
What is (f∗g)(x)(f * g)(x)? f(x)=3x2+9xf(x) = 3x^2 + 9x g(x)=3xg(x) = 3x Write your answer as a polynomial or a rational function in simplest form. ______
Get tutor helpright-arrow

Posted 5 months ago

View all (33)

Related topics

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