Answer:
Domain of the function → (-6, ∞)
Range of the function → (-∞, ∞)
Step-by-step explanation:
Domain of a function is the set of x-values of the function.
Similarly, Range of the function is the set of y-values.
From the graph attached,
Domain of the function → (-6, ∞)
x-values of the function starts from x = -6 (excluding x = -5) and tends to the positive infinity.
Range of the function → (-∞, ∞)
y-values starts from negative infinity and tends to positive infinity.
Answer:
f(g(5)) = 64
g(f(5)) = 28
Step-by-step explanation:
Given that f(x) = x^2 and g(x) = x+3
f(g(x) = f(x+3)
f(x+3) = (x+3)^2
f(g(x)) = (x+3)^2
f(g(5)) = (5+3)^2
f(g(5)) = 8^2
f(g(5)) = 64
b) g(f(x)) = g(x^2)
g(f(x)) = x^2 + 3
g(f(5)) = 5^2 +3
g(f(5)) = 25 + 3
g(f(5)) = 28
Hence the value of g(f(5)) is 28
You can use times the value by 1.05 to find the answer directly
Answer:
20/24
Step-by-step explanation:
let the variable be x and x-4
5/6 = x-4/x
cross multiply
5x = 6x - 24
24= x
thus, x is 24 and x-4 is 20
<u>20/24</u>