Pre-cal -- Logarithmic Function

Which of the following points lies on the graph of the inverse of f(x) = 6ˣ⁺¹?

(1, -1)

Write the inverse of h(x) = e ²ˣ h ⁻¹(x) =

1/2log ₑx

In two or more complete sentences, describe the transformation(s) that take place on the parent function, f(x) = log(x), to achieve the graph of g(x) = log(-2x-4) + 1.

Begin by factoring the expression inside the parenthesis to make it easier to see the transformations, f(x) = log(-2(x+2)) + 1. The parent function f(x) has been reflected over the y-axis and horizontally compressed by a factor of two. It has also been shifted two units to the left and one unit up.

Write the inverse of g(x) = log₆ x

g ⁻¹( x) = 6 ˣ

The parent function f(x) = log3x has been transformed by reflecting it over the x-axis, stretching it vertically by a factor of two and shifting it up five units. Which function is representative of this transformation?

g(x) = -2log₃(x) + 5

Write the inverse of h(x) = log₇ x

h ⁻¹( x) = 7 ˣ

f(x) = log₂ x

https://cdn.lti.glynlyon.com/media/feda4e37-f35b-4b8e-bbe0-022e1dc89249/img/mat1202l10p08.jpg

F(x) = log₁₀ x

https://cdn.lti.glynlyon.com/media/feda4e37-f35b-4b8e-bbe0-022e1dc89249/img/mat1202l10p09.jpg

f(x) = exand f -1(x) = log ex

https://cdn.lti.glynlyon.com/media/feda4e37-f35b-4b8e-bbe0-022e1dc89249/img/mat1202l10p10.jpg

Write the inverse of f(x) = 3ˣ⁻¹ f⁻¹(x) =

log ₃ x + 1

Write the inverse of g(x) = eˣ g⁻¹(x) = _____.

log ₑx

Write the inverse of f (x) = 6ˣ f⁻¹(x) =

log₆x