Answer:
Step-by-step explanation:
<u><em>The complete options are</em></u>
a) x - 2y = 30
b) 4x - 3y = 30
c) 3x - 4y = 30
d) 6x - 6y = 30
The given equation is
<u>Verify option d</u>
we have
Divide by 6 both sides
therefore
and are equivalent
The product of 4xy and y² + 2x can also be written as
4xy(y² + 2x)
When we have brackets like this, we multiply whatever is left of the brackets by everything inside.
1) 4xy multiplied by y²
4xy x y² = 4xy³
2) 4xy multiplied by 2x
4xy x 2x = 8x²y
3) Add together 4xy³ and 8x²y
4xy³ + 8x²y
Answer:
use 0-9 to fill in blanks
Step-by-step explanation:
Answer:
f(g(x)) = 4x² + 16x + 13
Step-by-step explanation:
Given the composition of functions f(g(x)), for which f(x) = 4x + 5, and g(x) = x² + 4x + 2.
<h3><u>Definitions:</u></h3>
- The <u>polynomial in standard form</u> has terms that are arranged by <em>descending</em> order of degree.
- In the <u>composition of function</u><em> f </em>with function <em>g</em><em>, </em>which is alternatively expressed as <em>f </em>° <em>g,</em> is defined as (<em>f </em> ° <em>g</em>)(x) = f(g(x)).
In evaluating composition of functions, the first step is to evaluate the inner function, g(x). Then, we must use the derived value from g(x) as an input into f(x).
<h3><u>Solution:</u></h3>
Since we are not provided with any input values to evaluate the given composition of functions, we can express the given functions as follows:
f(x) = 4x + 5
g(x) = x² + 4x + 2
f(g(x)) = 4(x² + 4x + 2) + 5
Next, distribute 4 into the parenthesis:
f(g(x)) = 4x² + 16x + 8 + 5
Combine constants:
f(g(x)) = 4x² + 16x + 13
Therefore, f(g(x)) as a polynomial in <em>x</em> that is written in standard form is: 4x² + 16x + 13.
