(f+g)(x)=(2-x)(2+x)+(2-x)=(2-x)(2+x+1)=(x+2)×(x+3)=x^2+5x+6 & Domain=R
Answer:
33
Step-by-step explanation:
18-7=11
11*3=33
Answer:
Step-by-step explanation:
∠D = 90°
3y+2 = 180°-90°-52° = 38°
y = 12°
∠BAC = ∠ACD
4x = 52°
x = 13°
When you reflect a function in the <em>x</em>-axis, the first coordinate of a point stays the same, and the second coordinate changes sign (what was positive is now negative and vice versa). See the attached picture.
Question 11: f(x) = -5x + 2. The function changes to its opposite, so g(x) = -(-5x + 2) = 5x - 2.
When you reflect a function in the <em>y</em>-axis, the first coordinate of a point changes to its opposite, but the second coordinate stays the same. Replace <em>x</em> with -<em>x</em> .
Question 14: f(x) = |2x - 1| + 3. Replacing <em>x</em> with -<em>x</em> produces g(x) = |2(-x) - 1| + 3 which simplifies to g(x) = |-2x -1| + 3.
Question 15 works the same way as #14.
Answer:
16 square inches.
Step-by-step explanation:
Split the shape into a rectangle and square. To solve for square, just mulitple the 2 sides (2 x 2) and you get an area of 4. To solve for the rectangle, you can multiple the 6 and 2 to get the area of 12. Add the 4 and 12 together and you get 16 square inches. Hope this helps!