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mel-nik [20]
3 years ago
10

What is the inverse of the function below? f(x)= x/4 -2

Mathematics
1 answer:
user100 [1]3 years ago
3 0

f(x)=\dfrac{x}{4}-2\to y=\dfrac{x}{4}-2\\\\\text{Interchange the y and the x}\\\\x=\dfrac{y}{4}-2\\\\\text{Solve for y}\\\\\dfrac{y}{4}-2=x\qquad|+2\\\\\dfrac{y}{4}=x+2\qquad|\cdot4\\\\y=4(x+2)

Answer:\ C.\ f^{-1}(x)=4(x+2)

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Giá trị x thoả mãn x(x − 3) + x − 3 =0 là
svet-max [94.6K]

Here we will use the trial and error method.

  • We will try putting different values of x.
<h3 /><h3>1st of all</h3><h3>x=1</h3>

\begin{gathered}\\ \sf\longmapsto 1(1-3)+1-3=0\end{gathered}

\begin{gathered}\\ \sf\longmapsto (-2)+1-3=0\end{gathered}

\begin{gathered}\\ \sf\longmapsto -2+1-3=0\end{gathered}

\begin{gathered}\\ \sf\longmapsto -2-2=0\end{gathered}

\begin{gathered}\\ \sf\longmapsto -4≠0\end{gathered}

<h2>Now,</h2><h3>x=2</h3>

\begin{gathered}\\ \sf\longmapsto 2(2-3)+2-3=0\end{gathered}

\begin{gathered}\\ \sf\longmapsto 2(-1)+2-3=0\end{gathered}

\begin{gathered}\\ \sf\longmapsto -2+2-3=0\end{gathered}

\begin{gathered}\\ \sf\longmapsto -3≠0\end{gathered}

<h2>Again,</h2><h3>x=3</h3>

\begin{gathered}\\ \sf\longmapsto 3(3-3)+3-3=0\end{gathered}

\begin{gathered}\\ \sf\longmapsto 3(3-3)=0\end{gathered}

\begin{gathered}\\ \sf\longmapsto 3×0=0\end{gathered}

\begin{gathered}\\ \sf\longmapsto 0=0\end{gathered}

<h3>☣Hence, The value of X as 3 satisfies the equation!</h3>
5 0
3 years ago
Please hurry it’s missing and I need it fast
sattari [20]
2. 83 R 2
3. 82 R 1111 etc
3 0
2 years ago
Read 2 more answers
Will upvote brainiest answer and add friend
Mashcka [7]

Answer:

68°

Step-by-step explanation:

ABD is a right angle and the measure of it is 90°

m<CBD + m<ABC = m<ABD

4x + 52° + 8x - 10 = 90° add like terms

12x + 42° = 90°

12x = 48°

x = 4

m<CBD is 4x + 52° replace x with 4

4×4 + 52 = 68°

8 0
4 years ago
Ben, Shaneeka, and Phil live on the same street. Ben lives 6/11 mile north of Phil, and 1/3 mile north of Shaneeka. How far does
Norma-Jean [14]

Answer:

Shaneeka live from Phil 7/33 mile far.

Step-by-step explanation:

Given:

Ben lives 6/11 mile north of Phil, and 1/3 mile north of Shaneeka.

Now, to get how far does Shaneeka live from Phil.

So, by subtracting the distance from  6/11 mile north where Ben lives from Phil to  1/3 mile north where Ben lives from Shaneeka:

\frac{6}{11} -\frac{1}{3}

=\frac{6\times 3 -1\times 11}{33}

=\frac{18-11}{33}

=\frac{7}{33}

Therefore, Shaneeka live from Phil 7/33 mile far.

7 0
3 years ago
Jeff wants to use mental math to see if he can afford the computer and printer shown. First he makes a ten by adding 527+3. What
tatiyna

Answer:

Step-by-step explanation:

7 0
2 years ago
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