Let fx x 2x 3 Find f1 1 a 12 b 12 c 3 d 52 e undefined Le

Let f(x) = x + 2/x - 3. Find f^-1 (-1). a. 1/2 b. -1/2 c. 3 d. -5/2 e. undefined Let f(x) = 1/x. Find f(x+h)-f(x)/h. a. f(x) = h/x(x+h) b. f(x) = 1/x^2 c. f(x) = -1/x(x+h) d. f(x) = 2x-h/x(x+h)h e. f(x) = 1/x(x+h) which of the following numbers is not a potential rational zero of the polynomial function f(x) = 2x^3 + x^2 + 36. a. -1/2 b. -3/2 c. 1/3 d. 12 e.4 Given the equation 3^x = e^x+1, Solve for x and approximate its value to four decimal places. a. -10.1407 b. 10.1407 c. -0.0986 d. 0.0986 e. -10.1479

Solution

9. f(x)=(x+2)/(x-3)

y=(x+2)/(x-3)

x=(y+2)/(y-3)

xy-3x=y+2

y(x-1)= 3x+2

y=(3x+2)/(x-1)

f^-1(x)=(3x+2)/(x-1)

f^-1(-1)= (-3+2)/(-1-1)=-1/-2=1/2

Correct option is A

10. f(x)=1/x

f(x+h)=1/(x+h)

(f(x+h) - f(x))/h= (1/(x+h)-(1/x))/h= -h/h(x)(x+h)=-1/(x)(x+h)

Correct option is C