1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kotykmax [81]
2 years ago
15

Using ƒ(x) = 2x + 7 and g(x) = x − 3, find ƒ(g(-2)).

Mathematics
1 answer:
Eva8 [605]2 years ago
4 0

Answer:

We conclude that:

f(g(-2)) = -3

Step-by-step explanation:

Given

  • f(x) = 2x + 7
  • g(x) = x-3

To determine

  • f(g(-2)) = ?

In order to determine f(g(-2)), first we need to determine g(-2)

so substituting x = -2 in g(x) = x-3

g(-2) = -2 - 3

        = -5

Thus,

f(g(-2)) = f(-5)

now substitute x = -5 in the function f(x) = 2x+7

f(x) = 2x+7

f(-5) = 2(-5) + 7

f(-5) = -10 + 7

f(-5) = -3

so

f(g(-2)) = f(-5) = -3

Therefore, we conclude that:

f(g(-2)) = -3

You might be interested in
What is the value of sin-1(1)? negative startfraction pi over 2 endfraction 0 startfraction pi over 2 endfraction π
mariarad [96]

The value of sin-1(1) is negative startfraction pi over 2 endfraction, startfraction -pi over 2 endfraction.

<h3>What is the value of sin (π/2)?</h3>

The value of sin (π/2) is equal to the number 1. The value of the sin-1(1) has to be find out.

Suppose the value of this function is <em>x</em>. Thus,

x=\sin^{-1}(1)

Solve it further,

\sin(x)=(1)              ......1

The value of sin (π/2) and -sin (-π/2) is equal to 1 such that,

\sin\dfrac{\pi}{2}=-\sin\left(-\dfrac{\pi}{2}\right)=1

Put this value in the equation 1,

\sin(x)=\sin\left(\dfrac{\pi}{2}\right)=-\sin\left(-\dfrac{\pi}{2}\right)

Thus, the range will be,

\left(\dfrac{\pi}{2},-\dfrac{\pi}{2}\right)

Thus, the value of sin-1(1) is negative startfraction pi over 2 endfraction, startfraction -pi over 2 endfraction.

Learn more about the sine values here;

brainly.com/question/10711389

3 0
2 years ago
Plz help I’ll mark you
timurjin [86]

Answer:

A 1/2

Step-by-step explanation:

Ratio of short length to hypotenuse

= cos60

= 1/2

4 0
3 years ago
Please help Fast A parking lot contains motorcycles (2 Wheels) and cars (4 Wheels). There are 35 vehicles and 114 wheels. How ma
swat32

Answer: There will be 20 motorcycles and 26 cars

let me know if you want me to explain:)

Step-by-step explanation:

If you want to check multiply 26 by the amount of wheels on each car (4) to get 104  total car wheels, then multiply the 20 motorcycles by the wheels of each motorcycle (2) to get 40. Lastly add the 104 and 40 together to get 144 the total amount of wheels in the parking lot.

Hope this helps :)

3 0
3 years ago
What is the slope and y- intercept of the line passing through (11,-3) and (7,9)
Misha Larkins [42]

Answer:

Slope is -3, y-intercept is 30

Step-by-step explanation:

You take the two points (11,-3) and (7,9), plug them into the formula y2-y1/x2-x2=m. Now, you have 9-(-3)/7-11 which gives you 12/-4, 12/-4 can be simplified into -3 which is your slope. To find y-intercept you must use the formula y=mx+b. Plug -3, your slope, into m, and any of the coordinates on your line into the y and x; I used (7,9). You solve for b from 9=-3*7+b. -3*7 gives you -21, now you have 9=-21+b, to get b by itself, you add 21 to both sides, 30=b. B is your y-intercept.

7 0
3 years ago
Which expression represents, five times the quotient of two numbers?
Tpy6a [65]

Answer:

0 5(5)

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Dave bought a soft drink for $4 and 8 candy bars. He spent a total of $36. How much did each candy bar cost?
    9·1 answer
  • Martin charges $10 for every 5 bags of leaves he
    9·2 answers
  • What is 127/100 as a percent
    15·2 answers
  • PLZ HELP!! im stuck will mark!!! &lt;3
    11·1 answer
  • Rita wants to buy a rocking chair for $160 she will pay 10% down and pay the rest and six monthly installments what will be the
    15·1 answer
  • My dumb brain can’t think anymore helppp
    14·1 answer
  • 1.
    8·2 answers
  • What is y+11= -7/9 (x-18)?
    8·1 answer
  • Angles related to a circle. Solve for x.
    15·1 answer
  • Can someone please help me find the value of X?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!