Answer:
f(g(x)) = 9x^2 + 15x - 6
Step-by-step explanation:
We are using function g(x) = 3x - 1 as the input to function f(x) = x^2 + 7x.
Starting with f(x) = x^2 + 7x, substitute g(x) for x on the left side and likewise substitute x^2 + 7x for each x on the right side. We obtain:
f(g(x)) = (3x - 1)^2 + 7(3x - 1).
If we multiply this out, we get:
f(g(x)) = 9x^2 - 6x + 1 + 21x - 7, or
f(g(x)) = 9x^2 + 15x - 6
Answer:
Step-by-step explanation:
Answer:- 29
false
Step-by-step explanation:
Answer:
30 miles²
Step-by-step explanation:
To solve the area of the prism we have to multiply the area of the base * the height of the prism. The base of the prism is a right triangle.
<em>(b*h)÷2 = Area of a triangle</em>
<em />
<em>Base = 4</em>
<em>Height = 3</em>
<em>Now:</em>
<em>(4*3)/2 = 6 miles²</em>
<em />
<em>Now we have to multiply 6 miles² by 5 as our height.</em>
<em />
<em>We get 30 miles² as the volume of the figure.</em>
