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Annette [7]
3 years ago
14

Which function is the inverse of ſx) - 2x+ 3?

Mathematics
1 answer:
Sonbull [250]3 years ago
5 0

If f^{-1}(x) is the inverse of f(x), then

f\left(f^{-1}(x)\right) = x

which means

2f^{-1}(x)+3 = x

Solve for f^{-1}(x) :

2f^{-1}(x) + 3 = x \\\\ 2f^{-1}(x) = x - 3 \\\\ f^{-1}(x) = \dfrac{x-3}2 = \boxed{\dfrac12x-\dfrac32}

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Could someone help me, please :(
Triss [41]

Answer:   \boldsymbol{-7}m + \boldsymbol{\frac{8}{5}}

Work Shown:

-\frac{2}{5}(15m-4)-m\\\\-\frac{2}{5}(15m)-\frac{2}{5}(-4)-m\\\\-6m+\frac{8}{5}-m\\\\\boldsymbol{-7}m + \boldsymbol{\frac{8}{5}}

Therefore -7 goes in the first box, and \boldsymbol{\frac{8}{5}} goes in the second box.

4 0
3 years ago
Read 2 more answers
Which of the following equations does not represent a true statement
Lena [83]
-6(-3)=18, so that is true

-6+(-3)=-6-3=-9 so that is true

-6-(-3)=-6+3=-3 FALSE

-6 ÷ (-2)=2 so that is true

Answer is C
7 0
4 years ago
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For what values of a is the distance between P(a,3) and Q(5,2a) greater than √26
Novay_Z [31]
P(a,3)\ \ \ Q(5,2a)\\\\ PQ=\sqrt{(x_Q-x_P)^2+(y_Q-y_P)^2}\\\\ PQ>\sqrt{26}\\\\\sqrt{(5-a)^2+(2a-3)^2}>\sqrt{26}\\\\\sqrt{25-10a+a^2+4a^2-12a+9}>\sqrt{26}\\\\\sqrt{5a^2-22a+34}>\sqrt{26}\ \ |^{2}\\\\
5a^2-22a+34=26\ \ \ |Subtract\ 26\\\\
5a^2-22a+8=0\ \ \ |Factoring\\\\(a-4)(5a-2)=0\\\\
a=4\ \  or\ \  5a=2\\
a=4\ \ or\ \ a=\frac{2}{5}
6 0
4 years ago
Evaluate 6 + 4(1 + 2)
koban [17]

Answer:

18

Step-by-step explanation:

It is important to recognize that there are different terms here. Terms are separated by operation. The 6 is separate from the 4(1+2)

3 0
3 years ago
List the steps taken to find the area of a triangle. Find the area of the
ICE Princess25 [194]

Answer:

base x height / 2

I'm guessing 10 and 17 are the base and height

10 x 17 = 170

170 / 2 = 85

85 is the area

Hope this helps

Step-by-step explanation:

5 0
4 years ago
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