Chapter 5 Review: Inverses

Front

What is the inverse of the coordinates (1, 2) (3, 8) (-3, 6)?

Back

(2, 1) (8, 3) (6, -3)

Front

Rewrite 3^4 = 81 in logarithmic form.

Back

log_3(81) = 4

Front

What is the notation for the inverse of g(x)?

Back

g^(-1)(x)

Front

Write in logarithmic form: 2^(-4) = 1/16.

Back

log_2(1/16) = -4

Front

Was the inverse function found correctly?

Back

no

Front

What is the definition of an inverse function?

Back

An inverse function reverses the operation of the original function.

Front

If f(x) = 2x + 3, what is f^(-1)(x)?

Back

f^(-1)(x) = (x - 3)/2

Front

What is the relationship between a function and its inverse?

Back

If f(x) takes x to y, then f^(-1)(y) takes y back to x.

Front

Convert the exponential equation 5^x = 25 to logarithmic form.

Back

log_5(25) = x

Front

What is the inverse of the function f(x) = x^2 (for x >= 0)?

Back

f^(-1)(x) = √x