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Flura [38]
1 year ago
12

HELP ASAP WITH EXPLANATION: If f(x) + f(2 − x) = 4 for all x, find f(y − 2) + f(4 − y)

Mathematics
1 answer:
Diano4ka-milaya [45]1 year ago
5 0

Answer:

f(y-2)+f(4-y)=4

Step-by-step explanation:

Assume (let) x=y-2

So: y=x+2

f(y-2)+f(4-y)=f(x)+f(-x+2)=f(x)+f(2-x)

The value of that expression is 4 from the given.

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Write the equation of the line in fully simplified slope intercept form
aleksandrvk [35]

Answer:

y = 3x - 8

Step-by-step explanation:

m = slope

slope = y2 - y1 / x2 - x1

4 - 1 / 4 - 3 = 3/1 = 3

m = 3

b = y-intercept

b = -8

y = mx + b

y = 3x + (-8)

y = 3x - 8

4 0
2 years ago
I need help with this question please. Just fo first question ignore wording below. Only apart of a homework practice
Roman55 [17]

Given the function:

f(x) = x³ + 3x² - 4x + 5

The graph of the function is (taken f:

According to the graph above, the maximum and minimum are 18.13 and 3.87, respectively

3 0
1 year ago
Identify whether each phrase is an expression, equation, or inequality.<br> Term Phrase
Llana [10]
  • The first Phrase

0=p-\frac{7}{3}, is a equation.

  • The second phrase

4q>s+6^{4}, is an inequality.

  • The third phrase

4a-5 is an expression

<h3>What is Equation, Expression and Inequality?</h3>
  • An equation is a mathematical expression that contains an equals symbol.
  • An expression is a combination of numbers, variables, functions
  • An inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

The first Phrase

0=p-\frac{7}{3}, is a equation.

A equation contain operand, operators(+,-,*,/) and an equal sign.

The second phrase

4q>s+6^{4}, is an inequality.

An inequality is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

The third phrase

4a-5 is an expression

An expression is a combination of numbers, variables, functions

Learn more about here:

brainly.com/question/18268056

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6 0
2 years ago
If f(x)=2x-1 and g(x)=x^2-4, what is g(f(x))
lesantik [10]

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

8 0
2 years ago
Solve this system of equations:
SpyIntel [72]

y=2x so replacr the -y with -2x so 2x+6 is 8x. :)

7 0
3 years ago
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