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
Area = Side x Side meaning it's 12 x 13 = 156
Area = 156
Answer:
x=4
Step-by-step explanation:
f(x) = (x-2)^5 +3
Let f(x) = 35
35 = (x-2)^5 +3
Subtract 3 from each side
35-3 = (x-2)^5 +3-3
32 = (x-2)^5
Take the fifth root of each side
32 ^ (1/5) = (x-2)^5^ 1/5
2 = x-2
Add 2 to each side
2 +2 = x-2+2
4 =x
Answer:
Step-by-step explanation:
this equation is written in y = mx + b form
m = slope
b = the y intercept
so if we rearrange the equation to
y = -23x -6
the slope is -23
the y intercept is (0, -6)
Alright, so in PEMDAS, we first do exponents. 3^2=9, and we then have 5(9)-3(3)+2. After that, we have multiplication, where we have 5*9 =45 and 3*3=9, resulting in 45-9+2 and eventually 38
