3 years ago

What is the inverse of the logarithmic function f(x)=log9x?

Mathematics

2 answers:

stepladder [879]3 years ago

8 0

Y = log base9 of x

let x = log base9 of y and solve for y

9^x = y

IgorC [24]3 years ago

7 0

Answer:

f –1(x) = 9x

if your on E 2020

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2 years ago

Express each ratio as a fraction in lowest terms.

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2 years ago

Read 2 more answers

Given the function g(x) = 41x3 + a for some constant a, which describes the inverse function

Paha777 [63]

Answer:

When we have a function g(x) such that:

g(x) = y.

Then the inverse, h(x), must be such that:

h(y) = x.

This means that:

g( h(x) ) = x

h( g(x) ) = x.

In this case, g(x) = 41*x^3 + a.

Then:

g( h(x)) = x = 41*h(x)^3 + a.

Now we can solve it for h(x).

x - a = 41*h(x)^3

(x - a)/41 = h(x)^3

∛( (x -a)/41 ) = h(x)

h(x) is the inverse function of g(x).

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2 years ago

Shape A has a perimeter of 36 feet and on of the side lengths is 12

Maru [420]

The perimeter of a shape is the sum of its side lengths

The corresponding side length for shape B is 20 feet

<h3>How to determine the length</h3>

The length-perimeter ratio is given as:

Ratio = Length : Perimeter

For both shapes, we have:

12 : 36 = Length : 60

Express as fraction

$\frac{12}{36} = \frac{Length}{60}$

Multiply both sides by 60

$Length = \frac{12}{36} * 60$

$Length =20$

Hence, the corresponding side length for shape B is 20 feet