I did wow owner was very rude
Answer:
3: 0.625
4: 2.2
7: 1.083
8: 4.285
11: 1.1
12: 0.08
Step-by-step explanation:
To find the inverse of this function, we first need to replace f(x) with y.
y = 2x^2 + 3
Now, we swap x and y
x = 2y^2 + 3
Now, we solve for y.
-3
x - 3 = 2y^2
Sqrt both sides.
√(x - 3) = 2y
Divide by 2
√(x - 3)/2 = y
Replace y with f^-1(x)
√(x - 3)/2 = f^-1(x)
Just realized you were asking for f(-1), not f^-1(x)
Feels bad.
f(-1) = 2(-1^2 + 3)
f(-1) = 2(-1^5)
f(-1) = 2(-1)
<u>f(-1) = -2</u>
I'm leaving the original answer in case you also need the inverse function. :)
Y = –6.x²<span> + 3.x + 2.
Its vertex form is (y-k) = a(x-h)</span>², where the vertex is V(h , k).
Let's calculate k and h from the original function y = - 6.x² + 3.x + 2.
a) the maximum is when f(0) = k→ -6(0)² + 3(0) + 2 , hence k = 2
b) The axis of symmetry is equal to x = -b/2.a:
x= -(3)/2.(-6) → x = 1/4 (1/4 is = h); Now replace k & h in the Vertex form
y-k = a(x-h)²
y- 2 = -6(x-1/4)²
