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gthif5424
17.10.2019 •
Mathematics
Select the correct answer.
what is the domain of the function f(x) = x + 3x + 5?
a. all whole numbers
b. all positive real numbers
c. all integers
d. all real numbers
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Ответ:
a. 6
b.-10
c. -4
d. 22
e. -4
f. -13
Step-by-step explanation:
Hi!
Alright, so when we say g of some number, we mean input that number instead of x into the formula.
Our g(x) formula is -2x+12.
g(3) = -2(3) + 12 = -6 +12 = 6
a. 6
Our f(x) formula is 1/2x - 8
We input -4 in for x ---> (1/2) (-4) - 8 --> -2 - 8
b. 10
Our f(x) formula is 1/2x - 8
1/2(8)-8 --> 4-8 --> -4
c. -4
Our g(x) formula is -2x+12.
-2(-5)+12 --> 10+ 12 =22
d. 22
Now, e is a multiple step problem. First, we're going to find g(2) and then input our answer into f.
g(2) = -2(2)+12 = -4+12 = 8
f(8) = 1/2(8) - 8 = 4-8 = -4
e. -4
F is also a multi step problem.
We're first going to find f(6) and then g(10) (this order doesn't generally matter) and then take the sum.
f(6) = 1/2(6) -8 = 3-8 = -5
g(10) = -2(10)+12 = -20 + 12= -8
-5+ -8 =-13
f. -13