All categories

2 years ago

Given f(x) = log x and g(x) = -x + 1, which is the graph of (fºg)(x)?

Mathematics

1 answer:

ss7ja [257]2 years ago

4 0

Answer:

(f • g)(x) = log (-x + 1)

Step-by-step explanation:

Here is a composite function

What we simply have to do here is to make a substitution

the substitution we are going to make is that we will substitute the value of x in f(x) with the entirety of g(x)

This simply mean that we replace every x we find in f(x) with the entire equation of g(x)

we have this as;

f(g(x)) = log (-x + 1)

You might be interested in

For the following exercises, evaluate the function at the indicated values:

STALIN [3.7K]

Answer:

The evaluated function for the indicated values is given below.

The value of f(-3) is 20 .

The value of f(2) is 10 .

The value of f(-a) is $2|-3 a-1|$ .

The value of -f(a) is $-2|3 a-1|$ .

The value of f(a+h) is $2|3 a+3 h-1|$ .

Step-by-step explanation:

A function $f(x)=2|3 x-1|$ is given.

It is required to evaluate the function at $f(-3) ; f(2) ; f(-a) ;-f(a) ; f(a+h)$ .

To evaluate the function, substitute the indicated values in the given function to determine the output values and simplify the expression.

Step 1 of 5

The given function is $f(x)=2|3 x-1|$ .

To evaluate the function at f(-3), substitute -3 in the given function $f(x)=2|3 x-1|$\\ $f(-3)=2|3(-3)-1|$\\ $f(-3)=2|-9-1|$\\ $f(-3)=2|-10|$\\ $f(-3)=2(10)$\\ $f(-3)=20$$

Step 2 of 5

To evaluate the function at $f(2)$, substitute 2 in the given function.

$f(x)=2|3 x-1|$\\ $f(2)=2|3(2)-1|$\\ $f(2)=2|6-1|$\\ $f(2)=2(5)$\\ $f(2)=10$$

Step 3 of 5

To evaluate the function at f(-a), substitute -a in the given function.

$\begin{aligned}&f(x)=2|3 x-1| \\&f(-a)=2|3(-a)-1| \\&f(-a)=2|-3 a-1|\end{aligned}$

Step 4 of 5

To evaluate the function at -f(a), substitute a in the given function.

$f(x)=2|3 x-1|$\\ $-f(a)=-2|3(a)-1|$\\ $-f(a)=-2|3 a-1|$$

Step 5 of 5

To evaluate the function at f(a+h), substitute a+h in the given function. $f(x)=2|3 x-1|$

$\begin{aligned}&f(a+h)=2|3(a+h)-1| \\&f(a+h)=2|3 a+3 h-1|\end{aligned}$

7 0

1 year ago

Look at this graph:

-Dominant- [34]

Answer:

3/2

Step-by-step explanation:

slope=rise/run=30/20=3/2.

8 0

3 years ago

The masked singer traveles 250 miles in 5 hours to get to los angeles for a show. How many miles did the singer travel in an hou

Strike441 [17]

Answer:

50mph

Step-by-step explanation:

250divided by 5 is equal to 5

4 0

2 years ago

Read 2 more answers

At Billy's school, 80 students come to school by bicycle or by car. Together, the vehicles they arrive to school in have 270 whe

Anna35 [415]

Answer:

x = number of bicycles = 35

y = number of cars = 55

Step-by-step explanation:

Let

x = number of bicycles

y = number of cars

x + y = 80 (1)

2x + 4y = 270 (2)

From (1)

x = 80 - y

Substitute x = 80 - y into (2)

2x + 4y = 270 (2)

2(80 - y) + 4y = 270

160 - 2y + 4y = 270

- 2y + 4y = 270 - 160

2y = 110

y = 110/2

y = 55

Substitute y = 55 into (1)

x + y = 80 (1)

x + 55 = 80

x = 80 - 55

x = 35

x = number of bicycles = 35

y = number of cars = 55

6 0

3 years ago

WILL GIVE BRAINLIEST!!!! Name all of the transformations from h(x) = sinx to f(x) = −4 sin (3x – π) + 5 ANSWER ASAP FOR MORE POI

vampirchik [111]

Answer:

Step-by-step explanation:

The -4 makes the waves taller (Amplitude 4), and the negitive flips over x-axis.

In (3x-pi) The three compresses horizontally making the waves tighter. The -pi shifts the funtion pi to the right.

The +5 shifts up five.

3 0

2 years ago