Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What is $(f * g)(x)$ ? $\newline$ $f(x) = -x + 5$ $\newline$ $g(x) = 3x^2$ $\newline$ 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) = -x + 5

\newline

g(x) = 3x^2

\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 $g(x)$ . $(f * g)(x) = f(x) * g(x)$
Multiply Functions: We have: $\newline$ $f(x) = -x + 5$ $\newline$ $g(x) = 3x^2$ $\newline$ Now, we need to multiply these two functions to find $(f * g)(x)$ . $\newline$ $(f * g)(x) = (-x + 5) * (3x^2)$
Distribute Terms: Distribute each term in the first polynomial over the second polynomial. $\newline$ $(f * g)(x) = (-x) * (3x^2) + 5 * (3x^2)$
Perform Multiplication: Perform the multiplication for each term. $\newline$ $(f * g)(x) = -3x^3 + 15x^2$
Check Simplification: Check for like terms and simplify if necessary. $\newline$ There are no like terms in $-3x^3 + 15x^2$ , so the expression 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