Inverse Functions

Front

F(x) = x + 11

Then use 4 steps to find inverse F^-1(x)

Options:

1. S1: let F(x) = x + 11

S2: Interchange x <=> y

x = y + 11

S3: Solve for y

11x = y

S4: F(x)^-1 = 11x

2. S1: let y = x + 11

S2: Interchange x <=> y

y + 11 = x

S3: Solve for y

y = x + 11

S4: F(x)^-1 = x + 11

3. S1: let y = x + 11

S2: Interchange x <=> y

x = y + 11

S3: Solve for y

x - 11 = y

S4: F(x) = x

4. S1: let y = x + 11

S2: Interchange x <=> y

x = y + 11

S3: Solve for y

x - 11 = y

S4: F^-1(x) = x - 11

Back

S1: let y = x + 11

S2: Interchange x <=> y

x = y + 11

S3: Solve for y

x - 11 = y

S4: F^-1(x) = x - 11

Front

F(x) = 11x

Use 4 steps to find inverse F^-1(x)

Back

S1: let y = x + 11

S2: Interchange x <=> y

x = 11y

S3: Solve for y

x/11 = y

S4: F(x)^-1 = x/11

Front

G(x) = x/11. Find G^-1(x)

Back

G^-1(x) = 11x

Front

Back

Front

Back

G^-1(x) = x^2

Front

Find the inverse of the function G(x) = 4x^3 - 1.

Back

Front

Back

Front

Find the inverse of F(x) = 11x - 1 using 4 steps.

Back

S1: let y = 11x - 1 S2: Interchange x <=> y x = 11y - 1 S3: Solve for y (x + 1)/11 = y S4: F(x)^-1 = (x + 1)/11

Front

Find the inverse of G(x) = \(\frac{x^2 + 1}{11}\)

Back

G^{-1}(x) = \(\sqrt{11x - 1}\)

Front

Back