Evaluate the following f(x)=x2-1 and g(x) = 3x +5. :a. f(-3) b. g(-2) c. f(0) d. g(5) 2. Find the x and y intercepts of the following functions: a) f(x) = x2 - 5x + 6 = 0b) h(x) = -2x + 20
11) Fin 12) If f(x) = 3x-5 and g(x) = x2 +3x-1, find f(f(x)), g(g(x)), f(g(x)), and g(f(x)) 17 find the eyart value of siny if x is an angle in standard position whose terminal side conta
Considerf(x) = 3x-1 and g(x) = x2 + 1. The expression (fog)(-2) or, equivalently,f [g(-2)] means to evaluate the function fat g(2)
Question 19 Given f(x) = x2 +2 and g(x) = 3x - 4 find (fog)(x) 9x2 - 12x+9 3x3-8 09x2 - 24x + 18 O x² + 3x-2
Use a contour to evaluate x? dx (x2 +1)(x2+4) f
4. Simplify and state the restrictions. 2x+8 4x+16 a) 3x 6x2–5x+1 b) x2-4 Х x2-x-2 x2-3x 2x2 4 1 c) x2+3x+2 + 1 x2+4x+3 11x d)- x2+3x-28 X-4
9. Evaluate the function (f -9) (-2) for: f (x) = x2 +4, and g(x) = x-5 . 0-5 O 8 O 11 0-15 0 15
Let f(x)=x2+4 and g(x)=3x−6. Find a formula for f(g(x)) in terms of x.
3. Graph: f (x)=\x2-4 4. Use the calculator to determine: $(x) = 3x² - 12x +4 10 9 A) vertex: 7 5 B) y-int: 2 C) opens: . -10 -10-387-5 -1 0 1 2 3 4 5 6 7 8.9 10
10. Given: f(x) = (x2 + 3x) a) Find dy = f'(x)dx b) Evaluate dy when x = 2 11. Approximate 52 using f(x+ Ax) = f(x) + f (x)Ar and dec = 0.02