The resulting composite function (f∘f)(x) is x⁴+2x²+2
When a function is written inside another function, it is known as a composite function
Given the function f(x)=x²+1,
(f∘f)(x) = f(f(x))
f(f(x)) = f(x²+1)
This means we will need to replace x with x²+1 in f(x) as shown:
f(x²+1) = (x²+1)²+1
Expand
f(x²+1) = x⁴+2x²+1+1
f(x²+1) = x⁴+2x²+2
Hence the resulting composite function (f∘f)(x) is x⁴+2x²+2
Learn more here: brainly.com/question/3256461
Answer:
Step-by-step explanation:
Multiply each term of the first polynomial with the second polynomial. Then combine the like terms.
(3a<em>² + 5a - 2)* (5a² -3a + 4)</em>
<em> = 3a² *(5a² -3a + 4) + 5a*(5a² -3a + 4) - 2*(5a² -3a + 4)</em>
<em>=3a²*5a² - 3a*3a² + 4*3a² + 5a*5a² - 3a*5a + 4*5a + 5a²*(-2) - 3a*(-2) + 4*(-2)</em>
<em>=15a⁴ - 9a³ + 12a² + 25a³ - 15a² + 20a - 10a² + 6a - 8</em>
<em>= 15a⁴ </em><u><em>- 9a³ + 25a³</em></u><em> +</em><u><em> 12a² - 15a² - 10a²</em></u><em> +</em><u><em> 20a +6a </em></u><em>- 8</em>
<em>= 15a⁴ + 16a³ - 13a² +26a - 8</em>
<h3>a)
</h3><h3>■Dividing a positive and a negative equals a negative: (+)÷(-)=(-)</h3>
<h2>
</h2><h3>■To divide by a fraction, multiply by the reciprocal of that fraction</h3>
<h2>
</h2><h3>■Multiply the fractions</h3>
<h2>
</h2>
<h3>Hence, Quotient =
</h3>
<h3>b)
</h3><h3>■Convert the decimals into a fractions</h3>
<h2>
</h2><h3>■Dividing a positive and a negative equals a negative: (+)÷(-)=(-)</h3>
<h2>
</h2><h3>■To divide by a fraction, multiply by the reciprocal of that fraction</h3>
<h2>
</h2><h3>■Multiply the fractions</h3>
<h2>
</h2><h3>Hence, Quotient is
</h3>
<h3>c)
</h3><h3>■To divide by a fraction, multiply by the reciprocal of that fraction</h3>
<h2>
</h2><h3>■Multiply the fractions</h3>
<h2>
</h2><h3>Hence, The Quotient is
</h3>
I have no idea what that is but good luck
