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2 years ago

Can anyone help please? Will give Brainly + 25 pts

Mathematics

1 answer:

Gennadij [26K]2 years ago

3 0

Answer:

A. (f+g)(x) means add the two functions, f and g

since f is 2x-2 and g is 6x, you'll just add them together

(f+g)(x)=2x-2+6x = 8x+2

B. (f-g)(x) means subtract the two functions, f and g

since f is 2x-2 and g is 6x, you'll just subtract

(f-g)(x)=2x-2-6x = -4x+2

C. (g-f)(x) I think you're getting the hang of it!

=6x-(2x-2) just be sure to put the second function in parentheses because you're subtracting the whole thing

=6x-2x+2 = 4x+2

D. (g+f)(x) try this on your own and check here

6x+(2x-2) = 6x+2x-2 = 8x-2

Step-by-step explanation:

to add or subtract functions, don't let the function notation throw you off. Pretend each one is just a number and you just add or subtract the whole thing. You got it! Next they will give you something like find (f+g)(5). All that means is add the two functions like in part a, and then in the final answer, plug in 5 instead of x. For example (f+g)(5) = 8x+2 = 8(5) +2 = 42

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3 years ago

bixtya [17]

Using an exponential function, it is found that f(5.5) = 19.8.

<h3>What is an exponential function?</h3>

An exponential function is a function in which the growth rate is a percentage, modeled by:

$y = ab^x$

In which:

a is the initial value.

b is the rate of change.

f(3.5) = 25 means that:

$ab^{3.5} = 25$

$a = \frac{25}{b^{3.5}}$

f(8.5) = 14 means that:

$ab^{8.5} = 14$

Hence:

$\frac{25}{b^{3.5}} \times b^{8.5} = 14$

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$b = \sqrt[5]{\frac{14}{25}}$

$b = 0.89$

$a = \frac{25}{0.89^{3.5}} = 37.59$

Hence, the function is given by:

$y = 37.59(0.89)^x$

Then, when x = 5.5:

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