Ok, a fun hack
if f⁻¹(a)=b then f(b)=a
so if f⁻¹(7)=b then f(b)=7
to find b, find x such that f(x)=7
7=0.5(3)^x
times both sides by 2 (or divide both sides by 0.5)
14=3^x
take log₃ of both sides
Answer:
x^2 +10x + 21
Step-by-step explanation:
You know the distributive property tells you ...
a(b +c) = ab +ac
Here, you can let
and you get ...
a ( b + c ) = a·b + a·c
(x +3)(x +7) = (x +3)·x +(x +3)·7
Now, you can use the distributive property on each of those products:
= x·x +3·x +x·7 +3·7
= x^2 +10x + 21
_____
<em>Alternate solution</em>
This is perhaps more commonly done by separating the terms of the first factor first:
(x +3)(x +7) = x(x +7) +3(x +7)
Then the next round looks like ...
x^2 +7x +3x +21
In order, left to right, these terms are the products of First terms, Outer terms, Inner terms, and Last terms. The acronym FOIL is often used to help students remember these pairs of products.
The acronym FOIL is only useful when multiplying a pair of binomials.
For anything else, the distributive property is relatively easy to remember and apply. Each term in each factor is multiplied by the remaining factors. The process is repeated until there are no parentheses left. Then like terms can be collected.
Answer:
I believe it would be 1400
Step-by-step explanation:
If it is multiple choice this would probably be the best choice
Answer:
c. x=8
Step-by-step explanation:
make me a brain list.
Answer: a) meter
Step-by-step explanation:
