Use long division to rewrite the equation for g in the form quotient+remainderdivisor Then use this form of the function's equation and transformations of f(x)=1x to graph g. g(x)=2x+7x+3

Step 1 g(x)=2x + 7{x + 3} 2x + 3|―2x+7⊖2x⊖+61 The quotient is 2 and the remainder is 1x + 3 g(x)=2 + 1x + 3 We can graph g by horizontal shifting f 3 units left then vertical shifting 2 units up Step 2

Check the solution to "Use long division to rewrite the equation for..."

College
Algebra
College algebra
Transformations of functions

vazelinahS

Answered question

2020-12-21

Use long division to rewrite the equation for g in the form
$quotient + \frac{r e m a i n d e r}{d i v i s o r}$
Then use this form of the function's equation and transformations of
$f (x) = \frac{1}{x}$
to graph g.
$g (x) = \frac{2 x + 7}{x + 3}$

Answer & Explanation

komunidadO

Skilled2020-12-22Added 86 answers

Step 1
$g (x) = \frac{2 x + 7}{{x + 3}}$
$\begin{matrix} 2 \\ \underset{―}{x + 3 |} & 2 x & + 7 \\ ⊖ 2 x & ⊖ + 6 \\ 1 \end{matrix}$
The quotient is 2 and the remainder is $\frac{1}{x + 3}$
$g (x) = 2 + \frac{1}{x + 3}$ We can graph g by horizontal shifting f 3 units left then vertical shifting 2 units up
Step 2

Do you have a similar question?

Recalculate according to your conditions!

New Questions in College algebra

Given that 1 $\log_{a} (3) \approx 0.61$ and l $\log_{a} (5) \approx 0.9$ , evaluate each of the following. Hint: use the properties of logarithms to rewrite the given logarithm in terms of the the logarithms of 3 and 5.
$C = \frac{5}{9} (F - 32)$
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
1. A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of $\frac{5}{9}$ degree Celsius.
2. A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
3. A temperature increase of $\frac{5}{9}$ degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
One of the two tables below shows data that can best be modeled by a linear function, and the other shows data that can best be modeled by a quadratic function. Identify which table shows the linear data and which table shows the quadratic data, and find a formula for each model.
One of the two tables below shows data that can best be modeled by a linear function, and the other shows data that can best be modeled by a quadratic function. Identify which table shows the linear data and which table shows the quadratic data, and find a formula for each model.
if -x^2+y^2=4-4x^2y then find the equations of all tangent lines to the curve when y=-5
Find the formula for an exponential function that passes through (0,6) and (2,750)
Use the given conditions to write an equation for the line in point-slope form and general form. Passing through (8,-4) and perpendicular to the line whose equation is
x-6y-5=0
Use the given conditions to write an equation for the line in point-slope form and general form. Passing through (8,-4) and perpendicular to the line whose equation is x-6y-5=0
A polynomial of a degree 5 had rational coefficients and the zeros $\frac{4}{3}, 8 i$ , and $3 - 5 \sqrt{2}$
What are the missing zeros?
Let R be the relation on the set {0, 1, 2, 3} containing the ordered pairs (0, 1),(1, 1),(1, 2),(2, 0),(2, 2),(3, 0). Find reflexive, symmetric and transitive closure of R.
A baseball team plays in a stadium that holds 70,000 spectators. With the ticket price at $11, the average attendance has been 29,000. When the price dropped to $10, the average attendance rose to 35,000. Assuming the demand function, p(x) $p (x)$ , is linear, find p(x) $p (x)$ , where x $x$ is the number of the spectators. Write p(x) $p (x)$ in slope-intercept form.
To break even in a manufacturing business, income or revenue R must equal the cost of production the letter C. The cost the letter C to produce X skateboards is the letter C = 108+21X. The skateboards are sold wholesale for $25 each, so revenue the letter R is given by the letter R = 25 X. Find how many skateboards the manufacture needs to produce and sell to break even. (Hint: set the cost expression equal to the revenue expression and solve for X.)

Didn't find what you were looking for?