What is the inverse function of f(x)=4x-7

2 answers:

5 0

To find the inverse, turn the equation into x=4y-7 and solve for y. The inverse would be y=1/4x+7/4, or f(x)=1/4x+7/4. I hope this helps!

Serjik [45]3 years ago

3 0

<h3>Hey there! </h3><h3> $f(x)$ ("f" of "x") is usually the "y" variable of the mathematical problem, same thing with $g(x)$ ("g" of "x"), they are both part of the "y-intercepts" </h3><h3>So, basically , the inverse of $f(x)$ $= 4x$ $-7$ would most likely be: $y =$ $4x$ $-7$ </h3><h3>Good luck on your assignment and enjoy your day! </h3><h3>~ $LoveYourselfFirst:)$ </h3>

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a school musical soild 353 tickets. $5 for adults and $3.50 for students. the school made $1500 how many adult tickets were sold

IrinaVladis [17]

Answer:

177 Students

176 Adults

Step-by-step explanation:

Adult - (A) $5

Student - (S) $3.50

Equation 1: A+S = 353 tickets

Equation 2: 5A + 3.50S = $1500

Sub equation 1 into 2:

5A + 3.50(353 - A) = 1500

Multiply: 5A + 1235.50 -3.50A =1500

Subtract 1235.50 and -3.50A from both sides: 1.50A = 264.50 and then divide:

264.50/1.50 = 176 Adults

Sub into equation 1:

176 +S = 353

Solve: 353 - 176 = 177 Students

Check: 5(176) + 3.50(177) = $1500

1499.5 rounded = 1500 = 1500 ✔

I hope this helped!

3 0

3 years ago

Arian is making bracelets. For each bracelet, it takes 1/10 of hour to pick out materials and 1/4 hour to braid it together. How

-Dominant- [34]

Change everything into 10ths as follows:

1/10 + 2.5/10 = 3.5/10 of an hour to make one bracelet. Then change to 20ths so the numerator is a whole number.
Divide your time available by the time it takes to make one.

21
4 = 420= 15 bracelets
7 28
20

(as a whole number there was no fraction or remainder to round off)

7 0

4 years ago

What’s the vertex form of F(x)=x^2+2x-3

kupik [55]

Answer:

$\large\boxed{f(x)=(x+1)^2-4}$

Step-by-step explanation:

$\text{The vertex form of a quadratic equation}\ f(x)=ax^2+bx+c:\\\\f(x)=a(x-h)^2+k\\\\(h,\ k)-\text{vertex}\\=====================================$

$\bold{METHOD\ 1:}\\\\\text{convert to the perfect square}\ (a+b)^2=a^2+2ab+b^2\qquad(*)\\\\f(x)=x^2+2x-3=\underbrace{x^2+2(x)(1)+1^2}_{(*)}-1^2-3\\\\f(x)=(x+1)^2-4\\==============================$

$\bold{METHOD\ 2:}\\\\\text{Use the formulas:}\ h=\dfrac{-b}{2a},\ k=f(k)\\\\f(x)=x^2+2x-3\to a=1,\ b=2,\ c=-3\\\\h=\dfrac{-2}{2(1)}=\dfrac{-2}{2}=-1\\\\k=f(-1)=(-1)^2+2(-1)-3=1-2-3=-4\\\\f(x)=(x-(-1))^2-4=(x+1)^2-4$