MATHEMATICS HIGH SCHOOL

Write y=2x+3 using function notation

Answers

Answer 1

Answer:

Answer:

$f(x) = 2x+3$

Step-by-step explanation:

The function f(x) is the another way of representing the y-values in the function

i.e

$y=f(x)$

Then y-axis be labeled with f(x)

Also; the ordered pair is written as: (x, f(x)) instead of (x, y)

Given the equation:

$y = 2x+3$

replace y = f(x)

then;

$f(x) = 2x+3$

therefore, the equation y=2x+3 using function notation is, $f(x) = 2x+3$

Answer 2

Answer: f(x)=2x+3. easy as that, just replace y with f(x)

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Answers

Answer:48

Step-by-step explanation:

I just did it

B. 48

I Got it Correct <3

compare the functions shown below: f(x) = −3x − 5 g(x) cosine function with y intercept at 0, negative 3 h(x) = 2 cos(2x − π) 4 which function has the greatest y-intercept? (2 points) f(x) g(x) h(x) all three functions have the same y-intercept.

Answers

f(x) = -3x -5 has y-intercept of -5
g(x) has y-intercept of 0
-3hx = 2 cos (2x - π) + 4 => h(x) = -2/3 cos (2x - π) - 4/3

g(x) has the greatest y-intercept.

If the Question is:

f(x) = −3x − 5

g(x) =

cosine function with y intercept at 0, negative 3

h(x) = 2 cos(2x − π) + 4

Which function has the greatest y-intercept?

a. f(x)

b. g(x)

c. h(x)

d. all three functions have the same y-intercept

Then the Answer is C. h(x)

Quick Algebra questions please :) 1). Which values best approximate the solutions of -4x^2+11x+2=0?
A). 1.5 and 2.9
B). -0.2 and 2.9
C). 2 and 2.9
D). -0.2 and 2

2). What is the solution set of 4x^2-3=11x?
A). {-3/4,1}
B). {1/4,-3}
C). {-1/4,3}
D). {3/4,-1}

3). What would the graph of g(x)=-(x+2)^2+5 look like?

Answers

1. -4x² + 11x + 2 = 0
   x = -(11) ± √((11)² - 4(-4)(2))
   2(-4)
   x = -11 ± √(121 + 32)
   -8
   x = -11 ± √(153)
      -8
   x = -11 ± 3√(17)
   -8
   x = -11 ± 3(4.1)
      -8
     x = -11 ± 12.3
      -8
   x = -11 + 12.3 or x = -11 - 12.3
      -8    -8
   x = 1.3 or    x = -23.3
   -8     -8
   x = -0.1625    or x = 2.9125
   x ≈ -0.2    or x ≈ 2.9

The answer is B.

2. 4x² - 3 = 11x
    4x² - 11x - 3 = 0
    x = -(-11) ± √((-11)² - 4(4)(-3))
   2(4)
    x = 11 ± √(121 + 48)
      8
    x = 11 ± √(169)
   8
    x = 11 ± 13
       8
    x = 11 + 13 or x = 11 - 13
      8    8
    x = 24    or   x = -2
       8 8
   x = 3 or    x = -0.25

The answer is C.

3. g(x) = -1(x + 2)² + 5
    g(x) = -1(x + 2)(x + 2) + 5
    g(x) = -1(x(x + 2) + 2(x + 2)) + 5
    g(x) = -1(x(x) + x(2) + 2(x) + 2(2)) + 5
    g(x) = -1(x² + 2x + 2x + 4) + 5
    g(x) = -1(x² + 4x + 4) + 5
    g(x) = -1(x²) - 1(4x) - 1(4) + 5
    g(x) = -x² - 4x - 4 + 5
    g(x) = -x² - 4x + 1

Substitute the given values into the formula, and solve for the unknown variable.1
A= 2h(B+b); A=44, B = 2, b= 9
h=

Answers

Step-by-step explanation:

44 = 2 * h * 11

44 = 22 * h

divide 22 on both sides, and you get the answer

2 = h

A = 2h(B + b)

Disregard my first reply.

Here is the math work.

44 = 2h(2 + 9)

44 = 4h + 18h

44 = h(4 + 18)

44/(4 + 18) = h

44/22 = h

Divide top and bottom by 11.

4/2 = h

2 = h

Done!

It's not a really a question but how to solve these types of questionsLet f(x) = 9x − 2 and g(x) = −x + 3. Find f(g(x)).

Let f(x) = 2x + 2. Solve f−1(x) when x = 4.

Let f(x) = x + 8 and g(x) = x2 − 6x − 7. Find f(g(2)).

Let f(x) = x2 − 8x + 5. Find f(−1).