Show that the inverse of any linear function f(x)=mx+b, where mneq 0, is also a linear function. Give the slope and y-intercept of the graph of f-1 in terms ofm and b.

Find the linear approximation of the function $f(x)=\sqrt{1-x}$ at $a=0$ and use it to approximate the numbers $\sqrt{0.9}$ and $\sqrt{0.99}$.

A baseball team plays in a stadium that holds 55,000 spectators. With ticket prices at 10, the average attendance had been 27,000. When ticket prices were lowered to10,the average attend ance had been 27,000.When ticket prices were lowered to 8, the average attendance rose to 33,000. How should ticket prices be set to maximize revenue?

Determine whether each of these functions is a bijection from R to R.

a) $f(x)=-3x+4$

b) ${\displaystyle f\left(x\right)=-3x^2+7}$

c) $f(x)=\frac{x+1}{x+2}$
${\displaystyle d)f\left(x\right)=x^5+1}$

Degree 3; zeros: $3,4-i$

Let $P(t)=100+20\cos 6t,0\le t\le \frac{\pi }{2}$. Find the maximum and minimum values for P, if any.

Match the function with its name: ${\displaystyle f\left(x\right)=\sqrt{x}}$
a) squaring function
b) square root function
c) cubic function
d) linear function
e) constant function
f) absolute value function
g) greatest integer function
h) reciprocal function
i) identity function

An initial population of 4 tribbles was brought aboard the Enterprise. They grow at a rate of 50% every hour. Write an exponential growth function for this scenario