An inverse function reverses the roles of inputs and outputs (of x-values and y-values).
If (2,4) is on the graph of a function, then (4,2) is on the graph of the inverse function.
If (9,7) is on the graph of the inverse, then (7,9) would be on the graph of the original function.
If (a,b) is on the graph of the function, then (b,a) is on the graph of the inverse.
Getting to your question, which of the points listed has the inverse listed up in the table?
Her average now is 88.
She needs to bring it up to a 90.
Let's start with if she gets a 90.
88 + 90 = 178
178/2 = 89
A 90 would only get her an average of 89, so you need to go higher.
88 + 91 = 179
179/2 = 89.5
88 + 92 = 180
180/2 = 90
She must get at least a 92 to get an average of 90.
This is the order from smallest to greatest: -10,-5,0,5,10
Answer:
(f ∘ f)(–1) = –1
Step-by-step explanation:
To solve a composite function, rewrite using brackets and solve from inside to outside.
(f ∘ f)(x) is the same as: f[f(x)]
Given that x = –1 in (f ∘ f)(–1), we are solving for:
f[f(–1)] = ?
Solve for f(–1) inside the square brackets first.
f(x) = x³
f(–1) = (–1)³ Simplify.
f(–1) = –1 Solved the inside.
Substitute f(–1) = –1 into the square brackets.
f[f(–1)] = f[–1]
Now, we can solve the outside.
Solve with the equation of the function, x³.
f[–1] = x³
f[–1] = [–1]³ Substitute x = –1.
f[–1] = (–1)³ Simplify.
f[–1] = –1 Final answer
