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MAT109U

MATEMATİK I

2. Ünite
Soru 1
f : R → R, f(x) = 5 x3 + x – 2. f(-1) = ?
Soru 2
f : R → R, f(x) = 3 x2 – 5. f –1(x) = ?
Soru 3
f : R → R, f(x) = 2 + 3 x3 ; g : R → R , g(x) = -x + 1. (f ∘ g)(-1) = ?
Soru 4
f : R → R, f(x) = 2 + 3 x3 ; g : R → R , g(x) = -x + 1. (g ∘ f)(-1) = ?
Soru 5
f : R → R, f(x) = 2 + 3 x3 ; g : R → R , g(x) = -x + 1. (f . g)(-1) = ?
Soru 6
f : R → R, f(x) = x3 + 2. f –1(1) = ?
Soru 7
f : R → R, f(x) = 2 + 3 x3 ; g : R → R , g(x) = -x + 1. (f + g)(-1) = ?
Soru 8
f : R → R, f(x) = (64 – 8x)1/3 ; what is the largest domain of x = ?
Soru 9
f : R → R, f(x) = -x + 3, if x ≤ 4 ; f(x) = -1, if x > 4. 3 f(-2) + 4 f(16) = ?
Soru 10
How many different inverse functions can be defined from a set of 10 elements to a set of 2 elements ?
Soru 11
Given the function f: R→R, f(x)=7x²+12, what is the value of f(2)?
Soru 12
For the functions f: R→R, f(x)=3x-8 and g: R→R, g(x)=(x+12)/4, what is the value of f(3).g(8)?
Soru 13
Given the functions f: R→R, f(x)=x-5 and g: R→R, g(x)=2x+9, calculate the value of (fog)(-1)?
Soru 14
Let the functions f: R→R, f(x)=2x+7 and g: R→R, g(x)=3x-2, what is the value of (gof)(x)?
Soru 15
Let the functions m: R→R, m(x)=(3/x)+7 and k: R→R, k(x)=3/(x-2), what is the value of m(k(1))?
Soru 16
The function f: R→R is given by,

What is the value of 2f(6)-3f(3)+6f(-1)?

Soru 17
What is the inverse of the function f(x)=6x-5 ?
Soru 18
Let f: R→R, f(x)=7x+1 and g: R→R, g(x)=x²-1 be given. What is the value of f/g(2)?
Soru 19
For the functions f: R→R, f(x)=x-1 and g: R→R, g(x)=(x+2)/4, what is the value of (f.g)(3)?
Soru 20

According to the graph of f(x) is given above, what is the value of f(-4)+3f(5)-2f(3) ?