Question

The functions f (x), g (x), and h (x) are defined below. Calculate the indicated function values. Simplify your answers.f (x) = -2x. g (x) = 2x +5. h(x) = x^2 + 3x -10 17. f (g (x) ) 18. g(a)19. g(b^2)20. g(a+b)21. h(f (x) )22. h(a)23. h(b^2) 24. h(a+b)25. h (g (x) )

Answer 1

The functions f (x), g (x), and h (x) are defined below. Calculate the indicated function values. Simplify your answers.



f (x) = -2x. g (x) = 2x +5. h(x) = x^2 + 3x -10



Part 17

f(g(x))=-2[2x+5]=-4x-10

Part 18

g(a)=2(a)+5

Part 19

g(b^2)=2(b^2)+5

Part 20

g(a+b)=2(a+b)+5

Part 21

h(f(x))=(-2x)^2+3(-2x)-10=4x^2-6x-10

Part 22

h(a)=a^2-3a-10

Part 23

h(b^2)=(b^2)^2-3(b^2)-10=b^4-3b^2-10

Part 24

h(a+b)=(a+b)^2-3(a+b)-10=a^2+2ab+b^2-3a-3b-10

Part 25

h(g(x))=(2x+5)^2-3(2x+5)-10=4x^2+20x+25-6x-15-10=4x^2+14x