The domain and range of the graph of a logarithmic function are;
- Range; The set of real numbers.
<h3>How can the graph that correctly represents a logarithmic function be selected?</h3>
The basic equation of a logarithmic function can be presented in the form;
Where;
b > 0, and b ≠ 1, given that we have;
The inverse of the logarithmic function is the exponential function presented as follows;
Given that <em>b</em> > 0, we have;
Therefore, the graph of a logarithmic function has only positive x-values
The graph of a logarithmic function is one with a domain and range defined as follows;
Domain; 0 < x < +∞
Range; -∞ < y < +∞, which is the set of real numbers.
The correct option therefore has a domain as <em>x </em>> 0 and range as the set of all real numbers.
Learn more about finding the graphs of logarithmic functions here:
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The inverse function of g(x) will be g⁻¹(x) = (4x + 3) / 2. Then the value of the inverse function, at x = -3, will be 4.5.
<h3>What is inverse of a function?</h3>
Let the function will be
f: X → Y
Then the inverse function will be
f⁻¹: Y → X
The function is given below.
g(x) = (2x – 3) / 4
Then the inverse function of g(x) will be
g⁻¹(x) = (4x + 3) / 2
Then the value of the inverse function, at x = -3, will be
g⁻¹(-3) = [4(-3) + 3] / 2
g⁻¹(-3) = -4.5
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Not me singing this in my head now currently dancing in my room as if it is Christmas.
£36.48.
1. Multiply 38 by 0.04 (4% in decimal) and you’ll get 1.52
2. Subtract 1.52 from 38 to get 36.48
Answer:
24 ft cubed
Step-by-step explanation:
The volume of a rectangular prism is denoted by the formula: 
, where 
is the length, w is the width, and h is the height.
Looking at the diagram, we can see that the length is 2 ft (so = 2), the width is 4 ft (so w = 4), and the height is 3 ft (so h = 3). Now, we can just plug in these values to find V, the volume:
Thus, the answer is 24 ft cubed.
Hope this helps!
