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Mathematics Application for Management, Life, and Soc.... (Instructor's)
- Find the following for the function f(x) = 4x + 4x – 2. (a) f(0) (e) - f(x) (b) f(4) (f) f(x + 3) (c) f( – 4) (g) f(4x) (d) f(– x) (h) f(x + h)arrow_forwardIf H=fog and H(x)=/36 – 16x, which of the following cannot be the component functions f and g? f(x) = /36 – x²; ;g(x) = 16x f(x) = /36 - 16x; g(x) =x² f(x) = /36 – x; g(x) = 16x² O f(x) = Vx; g(x) = 36 – 16xarrow_forwardLet f(x) = 2x + 3 and g(x) = -3x - 6. Compute the following. (a) (fog)(x) (b) (fog)(9) (c) (gof)(x) (d) (gof)(9)arrow_forward
- Let f(x) = 5 - 3x² and g(x) = x + 5. Compute the following. (a) (fog)(x) (b) (c) (d) (e) (f) (fog)(-1) (gof)(x) X (f of)(x) X X (gof)(-1) X (gog)(-1) Xarrow_forwardExpress the given function h(x) = (2x - 5)3 as a composition of two functions f and g so that h(x) = (f ∘ g)(x) ?arrow_forwardIf f(x) = x2 – 6x and g(x) = 6 – x³, evaluate the following. a. (f + g)(– 2) b. (g - )(- 4) c. (f • g)(1) d. (3) a. (f+ g)( – 2) = | (Simplify your answer.)arrow_forward
- If f(x)= x-B/ x-A, f(4)=0 and f(6) is undefined, what are the values of A and Barrow_forwardIf f(x) = x + 3 and g(x)=x²-2, find the following. a. f(g(0)) c. f(g(x)) e. f(f(-7)) g. f(f(x)) a. f(g(0)) = (Simplify your answer.) b. g(f(0)) d. g(f(x)) f. g(g(4)) h. g(g(x)) *▪▪arrow_forwardIf f(x) = x + x + 1 and g(x) = x – 3, find the following. (a) f + g (b) f- g (c) fog (d) gof (e) f(g(2)) () g(f(2)) (g) gog°garrow_forward
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