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kirza4 [7]
3 years ago
14

What is the inverse of f(x)=2x−3

Mathematics
1 answer:
timama [110]3 years ago
4 0

Answer:

Im going to say f-1 (x)= -2x+3

Hoped this helped, have a nice day!


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PLEASE HELP!
Alexus [3.1K]

Answer:

4x+5y-34=0

Step-by-step explanation:

The slope-intercept form of a line is y=mx+b where m is the slope and b is the y-intercept.

My goal is to put in in this form first.  Then I will aim to put it in general form, ax+by+c=0.

So let's give it a go:

m is the change of y over the change of x.

To compute this I'm going to line my points up and subtract vertically, then put 2nd difference over 1st difference.  Like this:

( 1 , 6)

-(6 , 2)

----------

-5   4

So the slope is 4/-5 or -4/5.

So m=-4/5.

Now we are going to find b given y=mx+b and m=-4/5 and we have a point (x,y)=(1,6) [didn't matter what point you chose here].

6=-4/5 (1)+b

6=-4/5    +b

Add 4/5 on both sides:

6+4/5=b

30/5+4/5=b

34/5=b

So the y-intercept is 34/5.

The equation in slope-intercept form is:

y=-4/5 x + 34/5.

In general form, it is sometimes the goal to make all of your coefficients integers so let's do that.  To get rid of the fractions, I'm going to multiply both sides by 5.  This clears the 5's that were on bottom since 5/5=1.

5y=-4x+34

Now add 4x on both sides:

4x+5y=34   This is standard form.

Subtract 34 on both sides:

4x+5y-34=0

8 0
3 years ago
Read 2 more answers
G(t)=t squared - 2; Find g(9)
GaryK [48]

Answer:

79

Step-by-step explanation:

So we have the function:

g(t)=t^2-2

To find g(9), substitute 9 for t. Thus:

g(9)=9^2-2

Square:

g(9)=81-2

Subtract:

g(9)=79

So, our answer is 79.

And we're done!

4 0
3 years ago
Write the equation of the line in Point-Slope Form
katrin [286]

17.

The point-slope form:

y-y_1=m(x-x_1)

We have slope=m=8, and the point (-5, -3). Substitute:

y-(-3)=8(x-(-5))\\\\\boxed{y+3=8(x+5)}


18.

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (3, 4) and (15, 10). Substitute:

m=\dfrac{10-4}{15-3}=\dfrac{6}{12}=\dfrac{1}{2}

The point-slope form:

\boxed{y-4=\dfrac{1}{2}(x-3)}

or

\boxed{y-10=\dfrac{1}{2}(x-15)}

4 0
3 years ago
Kyle spend 1/5 of his money on clothing. He had 120 remaining. What was the cost of the clothes Kyle bought
dolphi86 [110]

Answer:

30 is the cost of clothes Kyle bought.

Step-by-step explanation:

Given: Kyle spend 1/5 of his money on clothing.

          Remaining money is 120.

Lets assume the total money Kyle had be "x".

∴ Money spent on clothes = \frac{1}{5}\times x= \frac{x}{5}

Now, putting up value in the equation to find the total amount of money.

We know, money remaining is 120

x-\frac{x}{5} = 120

Taking LCD subtract the fraction.

⇒ \frac{(x\times 5)- x\times 1}{5} = 120

⇒ \frac{5x-x}{5} = 120

⇒\frac{4x}{5} = 120

Multiplying 5 both side

⇒4x= 120\times 5

dividing 4 on both side.

∴x= \frac{120\times 5}{4}

∴ x= 150

Kyle has total 150 money to spend.

Kyle spent \frac{1}{5} of his total money on clothing.

⇒ cost of clothes kyle bought= \frac{1}{5} \times 150= 30

Hence, Kyle spent 30, which was the cost of clothes kyle bought.

6 0
3 years ago
The side of a square is 2x+5. What is the area of the square?
Andreas93 [3]
2x+5squared or 4x^2 + 20x + 25
7 0
2 years ago
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