1.) f(x) = x +1
g(x) =- 2x + 5
Find f g(2)

2

Step-by-step explanation:

Given f(x) = x + 1 and g(x) = -2x + 5, find f(g(2)).

First, we must plug in the value of g(x) into f(x).

f(g(x)) = (-2x+5) + 1

Then, we plug in g(x)'s x-value.

f(g(2)) = (-2(2) + 5) + 1

Now, we solve.

f(g(2)) = (-4 + 5) + 1

f(g(2)) = 1 + 1

f(g(2)) = 2

the answer is simply just 6n add the two together as they have an n

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)