Recent questions in College algebra

If $f(x)=x+4$ and ${\displaystyle g\left(x\right)=4x²}$, find $(f+g)(x)$ and $(f+g)(2)$.

g is related to one of the parent functions. Describe the sequence of transformations from f to g.

$g(x)=2-(x+5{)}^2$

${\displaystyle f\left(x\right)=9,\text{if}x\le -4,\text{and}f\left(x\right)=ax+b,\text{if}-4<x<5,\text{and}f\left(x\right)=-9,\text{if}x\ge 5,}$
Find the constants, if the function is continuous on the entire line.

For the following exercises, enter the data from each table into a graphing calculator and graph the resulting scatter plots. Determine whether the data from the table could represent a function that is linear, exponential, or logarithmic.

$\begin{array}{|ccccccccccc|}\hline x& 1& 2& 3& 4& 5& 6& 7& 8& 9& 10\\ f(x)& 2.4& 2.88& 3.456& 4.147& 4.977& 5.972& 7.166& 8.6& 10.32& 12.383\\ \hline\end{array}$

For the following exercises, determine whether the equation represents exponential growth, exponential decay, or neither. Explain. $y=16.5(1.025{)}^{1/2}$

For the following exercises, enter the data from each table into a graphing calculator and graph the resulting scatter plots. Determine whether the data from the table could represent a function that is linear, exponential, or logarithmic.

$\begin{array}{|ccccccccccc|}\hline x& 1.25& 2.25& 3.56& 4.2& 5.65& 6.75& 7.25& 8.6& 9.25& 10.5\\ f(x)& 5.75& 8.75& 12.68& 14.6& 18.95& 22.25& 23.75& 27.8& 29.75& 33.5\\ \hline\end{array}$

Given:
${\displaystyle \frac{m}{8}=\frac{15}{24}}$
Is ${\displaystyle 8\times m=25\times 15}$ true or false? Correct if false. Find m.