Ask question

Ask question

All categories

4 years ago

14

Which is the inverse of the function f(x)=1/3 x+5?

1 answer:

andreev551 [17]4 years ago

8 0

Replace the f(x) with y and proceed to make x the subject:
y=1/3x+5
y-5=1/3x
We need to ÷1/3 on both sides, so ×3 on both sides
3(y-5)=x
3y-15=x
Now swap y with x and replace the isolated x with f(x) so the inverse function is:
${f}^{ - 1}(x) = 3x - 15$

You might be interested in

A point moves along the curve y = √ x in such a way that the y-component of the position of the point is increasing at a rate of

Eduardwww [97]

Answer:

The value of x component changes at a rate of $\frac{dx}{dt}=4\sqrt{x}$ units per second

Step-by-step explanation:

We are given that $y=x^{\frac{1}{2}}$

Differentiating on both sides with respect to time we get

$\frac{dy}{dt}=\frac{d\sqrt{x}}{dt}\\\\\frac{dy}{dt}=\frac{1}{2}x^{\frac{-1}{2}}(\frac{dx}{dt})\\\\\frac{dy}{dt}=\frac{1}{2\sqrt{x}}\frac{dx}{dt}$

It is given that $\frac{dy}{dt}=2units/sec$

Solving for $\frac{dx}{dt}$ we get

$\frac{dx}{dt}=\frac{dy}{dt}\times 2\sqrt{x}\\\\\frac{dx}{dt}=4\sqrt{x}$

5 0

3 years ago

Match each organ or function with its body system <br><br> Excretory and digestive are the options

Tresset [83]

Answer:

digestive would be stomach, excretion is the big and small intestines

Step-by-step explanation:

stomach digests food, your intestines process whatever is left till you excrete

3 0

3 years ago

Tamiya's flower garden has 15 rows of 32 red rose flowers each

alisha [4.7K]

Answer:

She has 480 red roses in total

Step-by-step explanation:

6 0

2 years ago

Dan has £100. Colin takes £. How much is left

sasho [114]

Answer:

Maybe 99£

Step-by-step explanation:

Please give me brainliest

8 0

3 years ago

Read 2 more answers

Which of the following is the shape of a cross-section of the figure shown

Aliun [14]

Answer:

B. Pyramid

Step-by-step explanation:

3 0

3 years ago