Transforming Functions and Compositions of Functions

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of f(g(4)).

• 182

• 40

• 61

• None of the Above

f(x) = 3x + 10
g(x) = x - 2
Find f(g(0))

• 16

• 4

• -4

• None of these.

g(a) = 4a + 1 h(a) = -3a + 2 Find g(h(1))

• 3

• -3

• 21

• -21

f(x) = 3x + 10
g(x) = x - 2
Find g(f(x))

• 3x + 8

• 3x - 2

• 3x + 4

• None of these.

g(x)=3x+4
h(x)=3x-1
Find g(h(x))

• -9x+11

• 4x²+4x

• 9x+1

• 9x+11

Find f(2).

• -2

• -18

• 24

• 6

g(4x)

• 1728x³

• 12x³

• 192x³

• 36x³

f(n)=2n+1
g(n)=3n
Find f(n)+g(n)

• 5n+1

• -5n+1

• -2n+1

• -6n-1

Find g(5)

• 3375

• 375

• 25

• 45

f(x) = 9-3x
g(x) = 5x-7
Find f(x)+g(x). 

• 14x-10

• -8x+2

• 2x+2

• 2x-2