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
Dmitriy789 [7]
2 years ago
15

If f(x)=2x-1 and g(x)=x^2-4, what is g(f(x))

Mathematics
1 answer:
lesantik [10]2 years ago
8 0

Answer:

4x^2 - 4x - 3

Step-by-step explanation:

f(x) = 2x - 1

g(x) = x^2 - 4

g(f(x)) = ?

[substitute the x of g(x) with f(x)]

g(x) = x^2 - 4

g(f(x)) = (2x - 1)^2 - 4

[solve]

[binomial * binomial = quadratic equation]

[use FOIL method (first, outer, inner, last)]

g(f(x)) = (2x - 1)(2x - 1) - 4

g(f(x)) = (2x*2x) + (-2x) + (-2x) + (1) - 4

[combine like terms]

g(f(x)) = 4x^2 - 2x - 2x + 1 - 4

g(f(x)) = 4x^2 - 4x - 3

You might be interested in
Whats 1 and 3 5ths times 2 and 3 4ths
Bogdan [553]
1 3/5 x 2 3/4
= 8/5 x 11/4
= 22/5
= 4 2/5 (4 and 2/5)
6 0
2 years ago
Read 2 more answers
I need help with both
NikAS [45]
1) 3 cm.
               5cm*8cm*3cm= 120cm^2
2) Rectangle

4 0
3 years ago
Find the missing length indicatedOk
Wewaii [24]

Answer:

<em>x = 135</em>

Step-by-step explanation:

3 0
3 years ago
Justin and George bought some baked goods. Justin purchased 5 cookies for x dollars each and 4 doughnuts for y dollars each and
borishaifa [10]

The given statement 5x=4y=12 and x+6y=5 is true.

<u>Step-by-step explanation:</u>

The question comes from linear equations in two variables.

Here, two unknown variables represent a certain situation and their value can be obtained by solving both the given equations.

The cost of cookie is represented by the variable x and cost of doughnuts can be represented by the variable y.

The coefficient of each variable in the equation represent the quantity or the number of units of each baked good.

On comparing the given equations from the data provided in the question, the statement can be stated as true.

8 0
3 years ago
Read 2 more answers
The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown number of inche
mash [69]

Answer:

6,4

Step-by-step explanation:

I'm not sure if 4 is correct but 6 definitely is. I hope this helps

3 0
2 years ago
Other questions:
  • Solve the system of equations using substitution. 3x + 2y = 7 y = –3x + 11
    10·1 answer
  • How to write 3 9/100 into a decimal?
    10·2 answers
  • Graph: f(x) = x + 3
    13·1 answer
  • Jane has 2/3 of a lemon pie left over after Easter.she decided to give 1/2 of it to her sister.How much of the whole lemon pie w
    9·1 answer
  • Dividing by 5 is the same as
    5·1 answer
  • You have decided to start your own business selling friendship bracelets. It will
    9·2 answers
  • Linear Algebra Problem: Determine if the given statements are True or False. Justify your answers (i.e., give a proof for true a
    6·1 answer
  • Bob the builder is making 480 kg concrete mix. Concrete is made by mixing cement, sand and gravel in the ratio 1:3:4 how much sa
    10·2 answers
  • If the weights of 1,000 adult men in a county are plotted on a histogram, which curve is most likely to fit the histogram?
    11·2 answers
  • Help me please, anwser me fast please
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!