Given f(x)=3x2+5 and g(x)=x−2. What is (fg)(x)?

Mathematics

1 answer:

siniylev [52]2 years ago

5 0

PURRRRRR:

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ANSWER:

The product of the functions is 3x³ - 6x² + 5x - 10

Composite functions

Given the following functions expressed as

f(x) = 3x² + 5

g(x) = x - 2

In order to determine the value of (fg)x, we will take the product of the functions as shown

f(x)g(x) = 3x²+5)(x-2)

Expand to have;

f(x)g(x) = 3x³ - 6x² + 5x - 10

Hence the product of the functions is 3x³ - 6x² + 5x - 10

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Select all that are true for g(x) = 10/x (PLEASE ANSWER FAST ILL LOVE YOU FOREVER)

Ksivusya [100]

The given function is:

$g(x)= \frac{10}{x}$

The parents functions of g(x) will be:

$f(x)= \frac{1}{x}$

The domain of g(x) and its parent function is the same i.e. Set of all Real numbers except 0.

The range of g(x) and its parent function is the same i.e. set of all real numbers except 0.

g(x) and its parent function only decrease. They do not increase over any interval. However, the interval in which they decrease is the same for both.

So, the correct answers are:
The domain of g(x) is the same as the domain of the parent function.
<span>The range is the same as the range of the parent function.
</span><span>The function g(x) decreases over the same x-values as the parent function.</span>

8 0

3 years ago

Read 2 more answers

NEED ANSWER ASAP!!!! will mark you brainliest!!! Thank you!!!

iVinArrow [24]

Answer:

62°

Step-by-step explanation:

Since one arm making angle x is diameter. So, by inscribed angle theorem, we have:

$x = \frac{1}{2} (180 \degree - 56 \degree) \\ \\ x= \frac{1}{2} \times 124 \degree \\ \\ \huge \red{ \boxed{x = 62 \degree}}$