In Exercises 27-38, evaluate each function at the given values of the independen
ID: 3115989 • Letter: I
Question
In Exercises 27-38, evaluate each function at the given values of the independent variable and simplify. 27, f(x) = 4x + 5 a. f(6) a. f(4) a. g(-1) a. g(-1) 28, f(x) = 3x + 7 -29. g(x) = x2 + 2x + 3 -30, g(x) = x2-10x-3 31, h(x) = x4-2 + 1 b. g(x + 5) b. g(x + 2) b. h(-1) c. f(-x) c. g(x) c. g(x) a. h(2) c. h(-x) d. h(3a) 32. h(x) = x3-x + 1 a. h(3) b. h(-2) d. h(3a) b. f(10) b. f-24) c. h(-x) -33° f(r) = Vr + 6 + 3 a. f(-6) c. fx - 6) 34, f(r) = V25-r-6 c. f(25 - 2x) a. f(16) 4x2-1 35, f(x) =-x2 a. f(2)Explanation / Answer
Solution:
27) f(x) = 4x+5
a) f(6) = 4 × 6 +5 = 29
b)f(x+1) = 4(x+1) +5
= 4x+4 +5 =4x+ 9
C) f(-x) = 4(-x) +5 = -4x+5
28)f(x) = 3x+7
a) f(4) = 3×4 +7 = 12 +7 = 19
b) f(x+1) = 3(x+1) +7
= 3x +3 +7
= 3x+10
c) f(-x) = 3(-x) +7 = -3x +7
29) a) g(x) = x²+2x+3
= g(-x) = (-x)²+2(-x) +3
= x²-2x +3
b)g(x+5)
= x²+2x+3
= (x+5)² + 2(x+5) + 3
= x²+25+10x + 2x +10+3
= x²+12x+38
c) f(1) = x²+2x+3
= 1+2+3 = 6