Hon Precal Review Final #2

Front

What points does f^-1(x) go through if f(x) goes through (1, 4) and (4, 6)?

Back

(4, 1) and (6, 4)

Front

What is the value of x in the equation log₂(32) = x?

Back

x = 5

Front

What is the result of the composition of any function f(x) and its inverse f^-1(x)?

Back

x

Front

Where is the asymptote located for a graph that approaches y = -4?

Back

y = -4

Front

What is the inverse of f(x) = 1/4x - 7?

Back

f^-1(x) = 4x + 28

Front

Define the inverse of a function.

Back

The inverse of a function f(x) is a function that reverses the effect of f, denoted as f^-1(x).

Front

What is the relationship between a function and its inverse regarding their points?

Back

If (a, b) is on f(x), then (b, a) is on f^-1(x).

Front

How do you find the inverse of a linear function?

Back

To find the inverse, swap x and y, then solve for y.

Front

What is the definition of a logarithm?

Back

A logarithm is the exponent to which a base must be raised to produce a given number.

Front

What is the base of the logarithm in log₂(32)?

Back

The base is 2.