Operations and Composition of Functions

If f(x) = 5x and g(x) = 2x-1,

what is the composition f(g(x)) ?

• 10x-1

• 10x-5

• 5x²-1

• 5x²-5

If f(x) = 2x and g(x) = 2x - 7, find f(x)/g(x).

• (2x - 7)/(2x)

• -7

• (2x)/(2x - 7)

• 1x - 3.5

When f(x) = 2x and g(x) = x²+3

Find f(g(x)).

• x²+2x+3

• 4x²+3

• 2x²+3

• 2x²+6

When g(x)=3x+4 and h(x)=3x-1

Find g(h(x))

• -9x+11

• 4x²+4x

• 9x+1

• 9x+11

When f(x)=x²+1 and g(x)=2x-5

Find f(g(x))

• 4x²-20x+26

• -x²+2x+4

• -x²-2x-6

• x²-2x-4

When f(x) = 4x + 1 and g(x) = 4x - 3 Find f(x) * g(x)

• 16x² + 8x - 3

• 16x² - 8x + 3

• 16x² - 8x - 3

• 16x² - 16x - 3

When f(x) = 9-3x and g(x) = 5x-7

Find f(x) + g(x).

• 14x-10

• -8x+2

• 2x+2

• 2x-2

When f(x) = x²+9 and g(x) = x-9 Find f(x) - g(x).

• x²+x+9

• x²-x+9

• x²-x

• x²-x+18

• 4x²+24

• 4x²+20x+24

• 4x²+12x+24

• 4x²+4x+24