For and find °

(f ° g)(4) = 45

Step-by-step explanation:

f(x) = 4x+1 and g(x) = x^{2}  -5 find (f ° g)(4)

"( f o g)(x)" means " f (g(x))"

That is, you plug something in for x, then you plug that value into g, simplify, and then plug the result into  f.

f(g(x)) put x = 4 in g(x) = x² - 5

g(4) = 4² - 5 = 16 - 5 = 11

now put this g(x) = 11 where x = 4 in f(g(x)) = 4x + 1

f(g(4)) = f(11) = 4(11) + 1 = 44+1 = 45

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80