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3 years ago

The graphs of functions fand g are shown.

Mathematics

2 answers:

Vinil7 [7]3 years ago

7 0

Answer:

Step-by-step explanation:

For all Plato users

andre [41]3 years ago

3 0

Answer:

c = 3

Step-by-step explanation:

Function g is defined as,

g(x) = f(x) - c

Which states that the image function 'g' is formed by shifting function 'f' by c units down along y-axis.

Since, function 'f' has been shifted 3 units down to form the image function 'g'.

Therefore, value of c = 3 will be the answer.

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If Michel drove 273 miles in4 hour, what was her speed in miles per hour

Verizon [17]

68.25 mph because 273÷4=68.25 so the answer is 68.25 miles per hour

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3 years ago

I need help I have searched everywhere and nothing

Marta_Voda [28]

Answer:

See attached

Step-by-step explanation:

All answers in one graph, refer to attached

The function we need is

C(x) = 100(2*5280 - x) + 180 $\sqrt{800 +x^2}$ , where 2*5280= 2 miles

Table included as well

The vertex is about x = 19 ft which corresponds the minimum cost

Any other value, including negative reveal greater cost

Note. there is a bit confusion over 2 miles or 2000 ft, but the graph is going to be same in shape and vertex for x, the value for cost will be different

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4 years ago

If f(x) = 2 + x and g(x) = 3 - x, what is go f(-1)?

gavmur [86]

Answer:

g(f(-1)) = 2

Step-by-step explanation:

f(x) = 2 + x

g(x) = 3 - x

if you need to find g(f(-1)); find f(-1) first

f(-1) = 2 + (-1) = 1

f(-1) =1; now plug this into g(1)

g(1) = 3 - 1 = 2

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3 years ago

A marketing professor at Givens College is interested in the relationship between hours spent studying and total points earned i

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3 years ago

F(x)8x^2 find its inverse

olya-2409 [2.1K]

Answer:

$f^{-1}(x)=\frac{1}{2}\sqrt{\frac{x}{2}}$

Step-by-step explanation:

Given:

The function is given as;

$f(x)=8x^2$

In order to find the inverse, the steps to be followed are:

Step 1: Replace $f(x)$ by $y$ . This gives,

$y=8x^2$

Step 2: Switch 'y' by 'x' and 'x' by 'y'. This gives,

$x=8y^2$

Step 3: Solve for 'y'.

Dividing both sides by 8, we get:

$\frac{x}{8}=\frac{8y^2}{8}$

$\frac{x}{8}=y^2$ or

$y^2=\frac{x}{8}$

Taking square root on both sides, we get:

$\sqrt{y^2}=\sqrt{\frac{x}{8}}$

$y=\frac{1}{2}\sqrt{\frac{x}{2}}$

Now, we replace 'y' by $f^{-1}(x)$ .

Therefore, the inverse of the given function is:

$f^{-1}(x)=\frac{1}{2}\sqrt{\frac{x}{2}}$

3 0

3 years ago