f f(x) =    x − 5  − 4x, find f(5), f(9), and f(14)

Q: Find the value of “a” if (x1/3)(x3/4) = xa

A: Use Formula  (xm)(xn) = x(m+n)  When the two terms are in Multiplication and their bases are same…

Q: Let f(x) = x² + 6x + 2

A: Function is given by f(x) = x2 +6x + 2 To evaluate : fx+h - f(x) and fx+h - f(x)h

Q: If f(x) = (5x – 3)+/3, find f- (x)

A: We have to find inverse function

Q: If f (x) = x3 + x2 - x - 1, find f (1), f (-1), f (12 ), and f (a).

A: We have given  fx=x3+x2-x-1

Q: Find all the factors of f (x) = x³ – 4x² + x + 6.

A: GIVEN: f(x) = x3 - 4x2 + x + 6

Q: Let f(x)=2x+1 and g(x)=2x2-1 a. f(2) b. g(-3)

A:

Q: II. If f(x) = x², g(x) = 5x and h(x) = x + 4, find each value: 7. h(g(-3)) 6. f(h(-9)) 8. g(f(8))

A:

Q: 2.-1 fx(1 + x²³)¯¯¹dx 88

A: Given that ∫-∞∞x(1+x2)-1dx

Q: If f(x) = x² – 4x + 2 and g(x) = 3x – 7 , findf•g and g •f

A: Given functions,

Q: If f (x) = -4/(x + 3) , find f (1), f (-1), f (3), and f (-6).

A: fx=-4x+3

Q: If f(14)=27, find f-1(27)

A: If f(x) = y is any function and f is one-one then, => f-1(y)=x

Q: d.

A:

Q: If f(x) = -3x + 10, find f(2a – 1).

A: Here given as fx=-3x+10

Q: If h(x) = -3(9x + 13) and h(x) = 15, find x.

A: given h(x) =15 than the equation become 15=-3(9x+13) 15=-27x-39 27x=-39-15 27x=-54

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.