Composition of functions

1 answer:

7 0

For example, in the composition of(f g)(x) = f(g(x)), we need to replace each x found in f(x), the outside function, with g(x), the inside function. Step 3: Simplify the answer. Examples – Now let's use the steps shown above to work through some examples. Example 1: If f(x) = –4x + 9 and g(x) = 2x – 7, find(f g)(x).

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Evaluate y=x squared minus 2x plus one for 3i

pychu [463]

Answer:

$- 8 - 6i$

Step-by-step explanation:

The given expresion is

$y = {x}^{2} - 2x + 1$

We want to evaluate this expression when x=3i

We substitute to obtain:

$y = {(3i)}^{2} - 2(3i) + 1$

We simplify to get

$y = {3}^{2} \times {i}^{2} - 6i + 1$

Recall that

${i}^{2} = - 1$

This implies that:

$y = 9 \times - 1 - 6i + 1$

$y = - 9 - 6i + 1$

$y = - 8 - 6i$

3 0

3 years ago

Which algebraic expression is a polynomial with a degree of 5?

Eddi Din [679]

The degree of a polynomial is the highest exponent or sum of exponents of the variables in the individual terms of a polynomial.

Looking at each the polynomial:

3x5 + 8x4y2 – 9x3y3 – 6y5: Degree is 6 (look at the 2nd and 3rd term)

2xy4 + 4x2y3 – 6x3y2 – 7x4: Degree is 5 (look at 1st, 2nd, and 3rd term)

8y6 + y5 – 5xy3 + 7x2y2 – x3y – 6x4: Degree is 6 (look at 1st term)

–6xy5 + 5x2y3 – x3y2 + 2x2y3 – 3xy5: Degree is 6 (look at 1st and last term)

Therefore, the answer is the second option:
2xy4 + 4x2y3 – 6x3y2 – 7x4

6 0

3 years ago

Read 2 more answers

If,<br><img src="https://tex.z-dn.net/?f=%5Cbf%7B%7B%20x%3Ay%20%3D%2013%3A8%20%5C%3A%20%20%5C%3A%20%20and%20%5C%3A%20%20%5C%3A%2

SpyIntel [72]

Find LCM for the second term or common terms from both ratio that is 8 and 6

The LCM is 24

x:y = 13×3:8×3

y:z= 6×4:9×4

x:y= 39:24

y:z= 24:36

So, x:y:z= 39:24:36