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2 years ago

Find the inverse function of f(x)=15x-1

Mathematics

1 answer:

Masja [62]2 years ago

6 0

Answer:

f'(x) = (x + 1)/15

Step-by-step explanation:

f(x) = 15x -1,

Think of the term "f(x)" as a single variable, then solve for the term "x", manipulate the equation like how one would manipulate a literal equation, by inverse operations.

f(x) = 15x - 1

+1 +1

f(x) + 1 = 15x

/15 /15

(f(x) + 1)/15 = x

This means that (denote in the way one would denote an inverse of a function);

f'(x) = (x + 1)/15

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G(x)=3^x +1 and f(x)=3x+1 which values of x makes f(x) =g(x) true

fomenos

Answer:

x=1

Step-by-step explanation:

3^x +1

f(x)=3x+1

f(x) =g(x)

3x +1 =3^x +1

Subtract 1 from each side

3x = 3^x

Let x =1

3*1 = 3^1

3=3

5 0

2 years ago

Read 2 more answers

Which are the solutions of the quadratic equation? x2 = –5x – 3 –5, 0 StartFraction negative 5 minus StartRoot 13 EndRoot Over 2

boyakko [2]

<u>Given</u>:

The quadratic equation is $x^{2}=-5 x-3$

We need to determine the solutions of the quadratic equation.

<u>Solution</u>:

Let us solve the equation to determine the value of x.

Adding both sides of the equation by 5x and 3, we get;

$x^{2}+5 x+3=0$

The solution of the equation can be determined using quadratic formula.

Thus, we get;

$x=\frac{-5 \pm \sqrt{5^{2}-4 \cdot 1 \cdot 3}}{2 \cdot 1}$

$x=\frac{-5 \pm \sqrt{25-12}}{2 }$

$x=\frac{-5 \pm \sqrt{13}}{2 }$

Thus, the two roots of the equation are $x=\frac{-5 + \sqrt{13}}{2 }$ and $x=\frac{-5- \sqrt{13}}{2 }$

Hence, the solutions of the equation are $x=\frac{-5 + \sqrt{13}}{2 }$ and $x=\frac{-5- \sqrt{13}}{2 }$

6 0

3 years ago

Read 2 more answers

Find the coordinates of point P

Drupady [299]

Here is the formula for finding a partitioning point:
x=x1+k(x2-x1), y=y1+k(y2-y1)
k is the ratio of the segment from the beginning point to the partitioning : the whole segment. In this case, k=AP:AB=5/16
so x=1+(5/16)*(-2-1)=1/16
y=6+(5/16)(-3-6)=51/16
so the answer is (-1/16, 51/16)

Please double check my calculation by yourself.

refer to this website for the formula and how to find k:

"This ratio is called k, and is determined by writing the numerator over the sum of the numerator and the denominator of the original ratio."
https://cobbk12.blackboard.com/bbcswebdav/institution/eHigh%20School/Courses/CCVA%20CCGPS%20Coordina....

6 0

2 years ago

1797 is 31% of a number. What number?

abruzzese [7]

You should
1797/g = 31/100
g= 1797 x 100 ÷ 31
g= 5796.77

8 0

2 years ago

Guys its a written response helpp

Alecsey [184]

Answer:

1. C = $1.65p

2. $260.10 ÷ $1.65 = 157.64 because we need to round it will be rounded up to 158 pounds

6 0

2 years ago