Answer:
x = 1
Step-by-step explanation:
plug y = 6 on to the equation y =x + 5
=> 6 = x +5
=> x = 1
Answer:
f(g(x)) = -1
Step-by-step explanation:
Answer : 58 square units.
Tip : break the shape down into shapes you can easily find the area of.
I found the area of the two squares on the bottom
They are identical and are both 2 units tall and two units long giving, giving an area of 4, and since there are two of them you can multiply the are by two giving you 8
Next found the area of the remaining shape which is just a rectangle that excludes the two bottom squares which is 10 units long and 5 units tall multiplying to 50
50+8=58
See the attached picture:
X^4 - 5x^2 - 36 = 0
(x^2 - 9)(x^2 + 4) = 0 - factor the left side
(x + 3)(x - 3)(x^2 + 4) = 0 - factor (x^2 - 9 as difference of squares)
x + 3 = 0 x - 3 = 0 x^2 + 4 = 0 Set each factor to 0 if any 0 the left side 0
x = -3 x = 3 x^2 = -4
x = 2i or -2i
The roots are 3, -3, 2i, -2i (Don't know if you need the imaginary roots but I gave you them anyway)
