College Algebra Practice Test 2. Study Guide Questions And Correct Answers

the function f(x)=^12(root x) is one-to-one a) find an equation for f^-1(x) b)verify that the equation is correct by showing that f(f^-1(x))= x and f^-1(f(x))=x {Ans: a) c. b)x^12= x & ^12(root x)= x, verified.}the function f(x)=(x+6)^5 is one-to-one, find the f^-1(x), the inverse function. {Ans: ^5(square root of x-6)}use the graph of y=f(x) to graph the function g(x)=f(x+2)+3 {Ans: c}Use the graph to determine the following. a. the​ function's domain b. the​ function's range c. the​ x-intercepts, if any d. the​ y-intercept, if any e. the function​ values, f(−1) and f(2). Assume that the graph of the function continues its trend beyond the displayed coordinate grid {Ans: a) (- infinity, infinity) b) [3,infinity) c) b (no x-intercept) d) 4 e)f(-1)=5 & f(2)=4}Evaluate the function at the given values of the independent variable and simplify. f(x)=4x^2-1/x^2 a)f(3) b)f(-3) c)f(-x) {Ans: a) 35/9 b)35/9 c)4x^2-1/x^2}a. Rewrite the given equation in​ slope-intercept form. b. Use the slope and​ y-intercept to graph the linear function. 12x−4y−8=0 {Ans: y=3x-2}