All categories

3 years ago

Find the inverse (if it exists) of f(x) = 4x - 5

1 answer:

6 0

$f(x)=4x-5\to y=4x-5\ \ \ \ \ |add\ 5\ to\ both\ sides\\\\y+5=4x\ \ \ \ |divide\ both\ sides\ by\ 4\\\\x=\dfrac{y}{4}+\dfrac{5}{4}\to x=\dfrac{1}{4}y+\dfrac{5}{4}$

$The\ inverse\ of\ f(x)\ is\ f^{-1}(x)$

$Answer:f^{-1}(x)=\dfrac{1}{4}x+\dfrac{5}{4}$

You might be interested in

Please need help quick, trigonometry

Mademuasel [1]

Answer: C: 5

Step-by-step explanation:

7 0

2 years ago

These are all related to geometry and I need help!

nydimaria [60]

SOH-CAH-TOA

sin=opp/hyp

cos=adj/hyp

tan=opp/adj

1. Sin c=opp/hyp 2. tan=opp/adj 3. sin=opp/hyp

sin c=8/17 tan38°=x/16 sin38=18/x

x=18/sin38; x=29.236846

4 0

4 years ago

Write the expression in word form 12÷6×2

finlep [7]

Answer:

Twelve divide by six times two.

Step-by-step explanation:

To solve this problem, first you have to use the order of operations stands for parenthesis, exponents, multiply, divide, add, and subtract from left to right.

First, multiply & divide numbers from left to right.

$\displaystyle 12\div6\times2$

$\displaystyle 12\div6=2$

$\displaystyle 2\times2=4$

Therefore, the correct answer is twelve divide by six times two or 4.

<h2>Hope this helps!</h2><h2 /><h2>Have a wonderful blessing day! :)</h2><h2 /><h2>Good luck! :)</h2>

6 0

3 years ago

What is the equation (simplified) the inverse of y=2x^2?

Yuki888 [10]

$2x^2=y\ \ \ |divide\ both\ sides\ by\ 2\\\\x^2=\dfrac{y}{2}\\\\\boxed{x=\sqrt{\frac{y}{2}}}\\\\x=\dfrac{\sqrt{y}}{\sqrt2}=\dfrac{\sqrt{y}\cdot\sqrt2}{\sqrt2\cdot\sqrt2}\to\boxed{x=\dfrac{\sqrt{2y}}{2}}\\\\\\\boxed{f(x)=2x^2\to f^{-1}(x)=\dfrac{\sqrt{2y}}{2}}$

3 0

3 years ago

1. The graphs below represent functions defined by polynomials. For which function are the zeros of the

melamori03 [73]

Answer:

the second graph (c)

Step-by-step explanation:

8 0

3 years ago