Inverse Functions

Front

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

Back

(4, 1) and (6, 4)

Front

Find the inverse of
f(x) = 1/4x - 7
Options: f^-1(x) = 4x + 7, f^-1(x) = -4x + 28, f^-1(x) = -4x - 7, f^-1(x) = 4x + 28

Back

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

Front

Are the following inverses of each other?

Back

True

Front

Are fog(x) and gof(x) inverses of each other? Use composition of functions.

Back

False

Front

What does it mean to find the inverse of a function?

Back

the x's and y's are switched

Front

The inverse has been reflected over which line? Options: y = x, y =1, y = 0, y = x + 1

Back

y = x

Front

Determine f^-1(2) given the following information about an invertible function, f(x)
f(1) = -3
f(2) = -2
f(-1) = 2
f(3) = -1

Back

-1

Front

If f and g are inverse functions, and
f(2) = -1     g(1) = -2     f(1) = -2,
then which of the following MUST be true? Options: g(-2) = -1, g(2) = 1, g(-2) = 1, g(1) = 2

Back

g(-2) = 1

Front

Are these functions inverses?

Back

Yes

Front

Are these functions inverses?

Back

No