Combining like terms: -7x+x HELP ASAP

Mathematics

1 answer:

Svetllana [295]3 years ago

5 0

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

When you combine like terms you see the ones that are similar then you add or subtract, depends on what the signs are. For this one -7x is similar to x so in this case you would add x to the -7x which will give you -6x.

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Let f(x)=3x-6 and g(x)=x-2 find f(g(5))-ie. (f • g)(5) and its domain

Molodets [167]

Solution for f(g(5)):

The notation f(g(5)) or (f • g)(5) means that we first plug 5 into the function g(x), simplify, then plug the answer that we got to f(x). We will do this step-by-step:

Step 1: Plugging 5 to g(x)

$g(5)=5-2=3$

Step 2: Plugging the answer to f(x)

$f(3)=3(3)-6=9-6=3$

ANSWER: f(g(5)) is equal to 3.

Domain:

For the function f(g(x)), we can find the domain by analyzing the domains of each individual functions separately and excluding certain values depending on the restrictions from the outermost function.

However, since both functions have all real numbers as its domain, we will not need to do any exclusion anymore.

ANSWER: The domain of the function is all real numbers.

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3 years ago

Write an equation for the line in point slope form through the points (2, −6) and (−1, −8).

igomit [66]

Let point A be $(2, -6)$ and point B $(-1, -8)$

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Use the point-slope formula and whichever point you want as , in this case I'll use

$y - y_1 = m(x - x_1)\\y - (-6) = \frac{2}{3}(x - 2)\\y + 6 = \frac{2}{3}x - \frac{4}{3}\\y = \frac{2}{3}x - \frac{4}{3} - 6\\y = \frac{2}{3}x - \frac{14}{3}$