Six hundred two thousand hundred seven.
Instead of typing it all on here, I included my explanations with the work.
Answer:
175
Step-by-step explanation:
(g*h)(x) is the product of two functions: g(x) = 25 and h(x) = 4 - x.
This product is equal to 100 - 25x.
Substituting -3 for x, we get
(g•h)(-3) = 100 - 25(-3) = 175
Correct option B)
.
<u>Step-by-step explanation:</u>
We have the following figure attached as shown below.
Now, this triangular prism have 2 similar right angled surfaces and 3 rectangular surfaces , Let's calculate area for all of them:
2 similar right angled surfaces
We know that area of triangle = 
⇒ 
⇒ 
⇒ 
But there 2 such surfaces so , 
3 rectangular surfaces
Area of rectangle = 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Total area =
Adding area of 2 similar right angled surfaces & 3 rectangular surfaces:
= 
Correct option B)
.
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. :)