Answer:
<u>Question 1</u>
The function 
is one-to-one, so it does have an inverse.
The inverse of +6 is -6, so 
Therefore, g(x) is the inverse of f(x).
<u>Question 2</u>
The function 
is one-to-one, so it does have an inverse.
To find the inverse, replace f(x) with y:
Rearrange the equation to make x the subject:
Replace x with 
and y with x:
Therefore, g(x) is the inverse of f(x).
Answer:
a) x = 1
Step-by-step explanation:
Given: 2x + 3 = 5
1. Subtract 3 from both sides:
2x + 3 - 3 = 5 - 3
⟹ 2x = 2
2. Divide both sides by 2:
2x ÷ 2 = 2 ÷ 2
⟹ x = 1
3. Check your work:
2(1) + 3 = 5
2 + 3 = 5
⟹ 5 = 5 ✔
Learn more about solving algebraic equations here:
brainly.com/question/27597890
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Answer:
Step-by-step explanation:
Hope that this is helpful .
Have a great day.
Hope this helps!
Sorry the writing is really bad looking its hard to write on a laptop.
Answer:
e^(ln x) is just plain x
Step-by-step explanation:
The functions f(x) = e^x and g(x) = ln x are inverses of one another. In other words, one "undoes" the other.
Thus, as the rule goes, e^(ln x) is just plain x.
Here, e^(ln x) = 4 simplifies to x = 4.
