Hi there!

There are 3 parts to this equation:
f(x)
f(x+1)
4f(x)
We must first determine these three parts separately.
<u>1) f(x)</u>
We're given that
:
⇒
:
<u>2) f(x+1)</u>
Now, we must find f(x+1). To do so, add 1 to x in the original function
:
⇒ 
<u>3) 4f(x)</u>
To find 4f(x), multiply the original function
by 4:
:
<u>4) Put it all together</u>
Now, plug each of the three parts into the equation
:


Factor the left side

Divide both sides by 3^x

Because this equation is true,
is therefore true.
I hope this helps!
Answer:
H) 2
Step-by-step explanation:

=
[since 0 < x < (π/2) and
]
= (1 + 1)
= 2
We know that in general,
by
we mean the positive square root of x only.
Answer:
Wrong Question
Step-by-step explanation:
You should write of what context is this question. Else wise the question will be wrong.
This doesn't follow mathematical arithmetic rule at all.
<h2>
Answer:</h2>
Step 1: We need to find the slope (or <em><u>m</u></em>) <u><em>FIRST</em></u> using <u><em>slope formula*.</em></u>

m = 3
Step 2: Now we find the y-intercept (or <u><em>b</em></u>) using the <u><em>slope-intercept formula**</em></u>, ONE of the 2 points given, and the slope we just found.

b = 2
Step 3: Now we put it all together we get our equation in <u><em>slope-intercept form**.</em></u>
<u><em></em></u>
<u><em></em></u>
<u><em></em></u>
**Slope-intercept form: 
*Slope formula: 