Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What is $(f * g)(x)$ ? $\newline$ $f(x) = 2x^2 - 7x$ $\newline$ $g(x) = 5x$ $\newline$ Write your answer as a polynomial or a rational function in simplest form. $\newline$ ______

View step-by-step help

View step-by-step help

Add and subtract functions

Full solution

Q. What is

(f * g)(x)

?

\newline

f(x) = 2x^2 - 7x

\newline

g(x) = 5x

\newline

Write your answer as a polynomial or a rational function in simplest form.

\newline

______

Identify Formula: Identify the formula for $(f * g)(x)$ . $(f * g)(x)$ is the product of $f(x)$ and $g(x)$ . $(f * g)(x) = f(x) * g(x)$
Define Functions: We have: $\newline$ $f(x) = 2x^2 - 7x$ $\newline$ $g(x) = 5x$ $\newline$ To find $(f * g)(x)$ , we need to multiply $f(x)$ by $g(x)$ . $\newline$ $(f * g)(x) = (2x^2 - 7x) * (5x)$
Distribute Terms: Distribute $5x$ to each term in $2x^2 - 7x$ .
$(f * g)(x) = 5x * 2x^2 - 5x * 7x$
Perform Multiplication: Perform the multiplication. $\newline$ $(f * g)(x) = 10x^3 - 35x^2$
Simplify Polynomial: Express your answer as a simplified polynomial. $\newline$ The polynomial $10x^3 - 35x^2$ is already in its simplest form.

More problems from Add and subtract functions

Question

What is the midline equation of the function

\newline

h(x)=-3 \cos (\pi x+2)-6 ?

\newline

y=

Posted 10 months ago

Question

-2 i \cdot(2+6 i)=

\newline

Your answer should be a complex number in the form

a+b i

a

b

are real numbers.

Posted 10 months ago

Question

(4)+(14-4 i)=

\newline

Express your answer in the form

(a+b i)

Posted 10 months ago

Question

(-13+16 i)-(3+4 i)=

\newline

Express your answer in the form

(a+b i)

Posted 10 months ago

Question

(-30 i)+(52-30 i)=

\newline

Express your answer in the form

(a+b i)

Posted 10 months ago

Question

(-3+71 i)+(9)=

\newline

Express your answer in the form

(a+b i)

Posted 10 months ago

Question

(12)-(23+13 i)=

\newline

Express your answer in the form

(a+b i)

Posted 10 months ago

Question

(7-10 i)-(3+30 i)=

\newline

Express your answer in the form

(a+b i)

Posted 10 months ago

Question

(21+2 i)+(13+8 i)=

\newline

Express your answer in the form

(a+b i)

Posted 10 months ago

Question

(9+52 i)-(1)=

\newline

Express your answer in the form

(a+b i)

Posted 10 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant