Hello and Good Morning/Afternoon:
<u>Let's take this problem step-by-step</u>:
<u>Let's define some terms</u>:
- Domain: the set of inputs in the function (<em>in this case, it is x)</em>
- Range: the set of all of the possible outputs (in this case, it is y)
<u>Let's find the domain:</u>
For log(x),
⇒ the only inputs that are accepted are nonnegative and nonzero
⇒ therefore: Domain is (0, ∞)
<u>Now let's find out the range</u>:
The biggest constraint of the output is log(x)
⇒ however log(x) has a range of (-∞,∞)
⇒ therefore the entire equation's range is
(-∞,∞)
<u>Answer:</u>
- <u>Domain: (0,∞)</u>
- <u>Range: (-∞,∞)</u>
Hope that helps!
#LearnwithBrainly
Answer:
3/5 is greater
Step-by-step explanation:
3/5 is 60% which is greater than 23%
Answer:
0.800, 0.83, 8.00, 8.30
Step-by-step explanation:
Answer:
<h3>
x-intercepts: (-7, 0) and (7, 0)</h3><h3>
y-intercept: (0, -49)</h3>
Step-by-step explanation:
x-intercepts: f(x) = 0
x² - 49 = 0
x² = 49
x = -7 ∨ x = 7
Points: (-7, 0) and (7, 0)
y-intecept: y = f(0)
f(0) = 0² - 49 = -49
Point: (0, -49)
E are given with two functions: h(x) = x – 7 and g(x) = x2. In this problem, we are asked to determine the value of g(h(5)). first we get g(h(x)) which is equal to (x-7)2, when x is substituted by 5, then g(h(5)) = (5-7)^2 equal to 4
