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2 years ago

15

Please help me i need it in less that 60 sec

2 answers:

Fed [463]2 years ago

5 0

Found the answer use photomath

Ipatiy [6.2K]2 years ago

4 0

Answer:

1/4

Step-by-step explanation:

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If f(x)=1/6x+12, then f^-1(x)=<br> PLEASE HELP

Finger [1]

$f(x)=\dfrac{1}{6}x+12\to y=\dfrac{1}{6}x+12$

Change x to y, and y to x.

$x=\dfrac{1}{6}y+12$

solve for y:

$\dfrac{1}{6}y+12=x\ \ \ |-12\\\\\dfrac{1}{6}y=x-12\ \ \ \ |\cdot6\\\\y=6x-72$

Your answer is:

$f^{-1}(x)=6x-72$

5 0

2 years ago

Can someone help me out here please?

S_A_V [24]

Step-by-step explanation:

Area of circle:

A=π*(r^2)=π*(16^2)=256π ft^2

Area of the figure:

A=(3*256π)/4=192π=603.185=603.18 ft^2

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2 years ago

525 metres in 30 minutes

professor190 [17]

Answer:

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Step-by-step explanation:

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3 0

2 years ago

The average annual income, I, in dollars, of a lawyer with an age of x years is modeled with the following function: I=-425x²+45

olchik [2.2K]

DI/dx=-850x+45500

d2l/d2x=-850 so when dl/dx=0 it is an absolute maximum for l(x)...

dl/dx=0 only when:

850x=45500

x=53.53

x=54 years of age (rounded)

3 0

3 years ago

Read 2 more answers

Let f be a differentiable function such that f(3)=15, f(6)=3, f ' (3)= -8, and f ' (6)= -2. The function g is differentiable and

Ray Of Light [21]

Answer:

A. $g'(3)=-\frac{1}{2}$

Step-by-step explanation:

We have been given that f be a differentiable function such that $f(3)=15$ , $f(6)=3$ , $f'(3)= -8$ , and $f'(6)= -2$ . The function g is differentiable and $g(x)= f^{-1} (x)$ for all x.

We know that when one function is inverse of other function, so:

$g(f(x))=x$

Upon taking derivative of both sides of our equation, we will get:

$g'(f(x))*f'(x) =1$

$g'(f(x))=\frac{1}{f'(x)}$

Plugging $x=6$ into our equation, we will get:

$g'(f(6))=\frac{1}{f'(6)}$

Since $g(x)= f^{-1} (x)$ , then $g'(f(6))=g'(3)$ .

$g'(3)=\frac{1}{f'(6)}$

Since we have been given that $f'(6)= -2$ , so we will get:

$g'(3)=\frac{1}{-2}$

$g'(3)=-\frac{1}{2}$

Therefore, $g'(3)=-\frac{1}{2}$ and option A is the correct choice.

8 0

3 years ago