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nydimaria [60]
3 years ago
6

Find an expression for f−1(x), if f(x) = 5 − 2x

Mathematics
1 answer:
Lesechka [4]3 years ago
8 0

Answer:

f^{-1}(x) = \frac{5-x}{2}

Step-by-step explanation:

Let y = f(x) and rearrange making x the subject

y = 5 - 2x ( add 2x to both sides )

2x + y = 5 ( subtract y from both sides )

2x = 5 - y ( divide both sides by 2 )

x = \frac{5-y}{2}

Change y back into terms of x

f^{-1} (x) = \frac{5-x}{2}

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Using number line what is 4-5​
Vinil7 [7]

Answer:

<h2>-1</h2>

Step-by-step explanation:

4 - 5 = -1

Count:

4, 3, 2, 1, 0, <u>-1</u>

6 0
2 years ago
The function f is linear. If f(2) = 2 and f(-6)=6 find f(6)
lina2011 [118]
The\ slope-intercept\ form:y=mx+b\\\\f(2)=2\to for\ x=2\to y=2\\f(-6)=6\to for x=-6\to y=6\\\\put\ in\ equation\ of\ the\ line:\\\\  -\left\{\begin{array}{ccc}2=2m+b\\6=-6m+b\end{array}\right\ \ \ |subtract\ sides\ of\ the\ equations\\----------\\.\ \ \ -4=8m\ \ \ \ \ |divide\ both\ sides\ by\ 8\\.\ \ \ \ \boxed{m=-\frac{1}{2}}\\\\put\ m=-\frac{1}{2}\ to\ equation\ 2=2m+b:\\\\2=2\cdot(-\frac{1}{2})+b\\2=-1+b\ \ \ \ |add\ 1\ to\ both\ sides\\\boxed{b=3}\\\\\boxed{\boxed{y=-\frac{1}{2}x+3}}

therefore:f(x)=-\frac{1}{2}x+3\Rightarrow f(6)=-\frac{1}{2}\cdot6+3=-3+3=0\\\\Answer:\boxed{f(6)=0}
5 0
3 years ago
8. The month of July has 31 days. What is the greatest
IgorLugansk [536]

Answer:

We know that one Saturday comes in a week there are 7 days in a week and there are 4 weeks in a month so in 7×4=28 days four Saturdays will come ,

But since July has 31 days so there is a possibility of 5 Saturdays as in the rest 2 days one can be Saturday. so theres a possibility of 5 Saturdays

3 0
2 years ago
Find the equation of a line perpendicular to y-3x=-8 that passes through the point (3,2). Answer in slope-intercept form
Zielflug [23.3K]
Y - 3x = -8
y = 3x - 8...slope here is 3. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So the slope we need is -1/3.

y = mx + b
slope(m) = -1/3
(3,2)...x = 3 and y = 2
now we sub and find b, the y int
2 = -1/3(3) + b
2 = -1 + b
2 + 1 = b
3 = b

so ur perpendicular equation is : y = -1/3x + 3
8 0
3 years ago
Read 2 more answers
Find the area of the figure shown below. Use 3.14 for π and round your answer to the nearest hundredth.
topjm [15]

Answer:

ans: 111.54

Step-by-step explanation:

u can simple do by multiple

5 0
3 years ago
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