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alexdok [17]
4 years ago
7

If f(x)=2x−1, show that f(f(x))=4x−3. Find f(f(f(x))).

Mathematics
1 answer:
Allushta [10]4 years ago
6 0

Answer: f(f(f(x))  =  8x - 7

Step-by-step explanation:

f(f(x)) means that we are evaluating f(x) with itself, then if f(x) = 2x - 1

f(f(x)) = 2*f(x) - 1 = 2*(2x - 1) - 1 = 4x - 2 - 1 = 4x - 3

f(f(x)) = 4x - 3

Then, we have f(f(f(x)) = 4*f(x) - 3

= 4*(2x - 1) - 3 = 8x - 4 - 3 =  8x - 7

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The height h (in feet) of an object t seconds after it is dropped can be modeled by the quadratic equation h = -16t2 + h0, where
lawyer [7]
\bf h=-16t^2+255\implies h=-16t^2+0t+255
\\\\\\
~~~~~~~~~~~~\textit{quadratic formula}\\\\
\begin{array}{lcccl}
h=& -16 t^2& +0 t& +255\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array} 
\qquad \qquad 
h= \cfrac{ -  b \pm \sqrt {  b^2 -4 a c}}{2 a}
\\\\\\
h=\cfrac{-0\pm\sqrt{0^2-4(-16)(255)}}{2(-16)}\implies h=\cfrac{\pm\sqrt{16320}}{-32}
\\\\\\
h=\cfrac{\pm\sqrt{8^2\cdot 255}}{-32}\implies h=\cfrac{\pm 8\sqrt{255}}{-32}\implies h=\cfrac{\mp \sqrt{255}}{4}
\\\\\\
h\approx \mp 3.992179856
5 0
3 years ago
Read 2 more answers
Find the first three terms of f(n + 1) = f(n) + 8, if f(1) = 27.
dezoksy [38]
I hope this helps you



f (1+1)= f (1)+8


f (2)= 27+8


f (2)=35



f (2+1)= f (2)+8



f (3)= 35+8


f (3)=43



3 0
4 years ago
Solve for x. Show or explain your work.
belka [17]

Answer:

-8 = x

Step-by-step explanation:

-15 = 2x + 1

-1            - 1            Subtract 1 from both sides

-16 = 2x                 Divide both sides by 2

-8 = x

To make sure this answer is correct, plug it into the equation to see if it works.

-15 = 2(-8) + 1       Multiply

-15 = -16 + 1          Add

-15 = -15

3 0
3 years ago
Could someone explain this problem to me? ​
Leviafan [203]
Substitute x with the values given. In this case, 3 and -7.
4 0
3 years ago
Read 2 more answers
Can someone please help me with b, d, and 9-13? I already drew a number line, thanks in advance! :)
inessss [21]
B)
\frac{3}{13}  = s
d)
\frac{5}{4}  = s
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10)
{2}^{2}  = 4
{3}^{2}  = 9
so {5, 6, 7, 8} is the answer

11) for some reason it won't let me insert a picture but put place
\sqrt{4}
above 2, and then place
\sqrt{9}
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\sqrt{7}  = 2.65
12) place
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\sqrt{5}  = 2.24
and also
\sqrt{5}  <  \sqrt{7}
and for number 13) the square root of 144 is 12, and the square root of 169 is 13, so any numbers between 12 and 13 will work.


I hope this helped and if not, message me and ill try to explain!
8 0
3 years ago
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