Answer:
The answer is (g°f)(-1) = 27
Step-by-step explanation:
* (g°f)(1) ⇒ means make the domain of g is the range of f
- At first find the value of f(-1)
- Take the answer and substitute it as the value of x for g
- So the range of f is the domain of g
∵ f(x) = 4x + 7
∵ The domain of f = -1 ⇒ x is the domain
∴ f(-1) = 4(-1) + 7 = -4 + 7 = 3 ⇒ f(-1) is the range
∵ g(x) = x³
∵ x = f(-1) = 3 ⇒ the domain of g
∴ g(3) = 3³ = 27 ⇒ the range of g
* (g°f)(-1) = 27
Answer:
see the explanation in the procedure
Step-by-step explanation:
<u><em>The complete question is</em></u>
Tanisha and Rebecca are signing up for the new cellphone plans that only charge for the number of minutes and everything else is included in a monthly fee. Their plans are as follows:
Tanisha s Plan: $0.15 per minute used talking and a $25 monthly fee
Rebecca s Plan: $0.10 per minute used talking and a $18.50 monthly fee
After how many minutes will the two plans charge the same amount?
Let
x ----> the number of minutes
y ---> the total charge in dollars
we know that
<em>Tanisha s Plan</em>
-----> equation A
<em>
Rebecca s Plan</em>
-----> equation B
To find out after how many minutes will the two plans charge the same amount, equate equation A and equation B
solve for x

therefore
They will never pay the same amount , because the time cannot be a negative number.
Rebecca s Plan is better than Tanisha s Plan because it has smaller fee and less cost per minute
Answer:
80
Step-by-step explanation:
f(3)=4(3)^3-3(3)^2+5(3)-16
f(3)=4(3*3*3)-3(3*3)+15-16
f(3)=4(27)-3(9)+15-16
f(3)=108-27+15-16
f(3)=81+15-16
f(3)=96-16
f(3)=80
Answer:
10³⁰
Step-by-step explanation:
firstly working out without the power of 3

this is the same as 10¹⁵ ÷ 10⁵
here the bases are the same and it's division so we subtract the powers
15 - 5 = 10
10¹⁵ ÷ 10⁵ = 10¹⁰
we are left with (10¹⁰)³, multiply the powers
10 × 3 = 30
final answer = 10³⁰
Answer:
2.1 is greater
Step-by-step explanation: