Applications of Function Operations

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

• 19

• 23

• -10

• None of these.

Tags

CCSS.HSF-BF.A.1C

g(a) = 4a + 1

h(a) = -3a + 2

Find g(h(1))

• 3

• -3

• 21

• -21

Tags

CCSS.HSF-BF.A.1C

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

• 3x + 8

• 3x - 2

• 3x + 4

• None of these.

Tags

CCSS.HSF-BF.A.1C

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

• -9x+11

• 4x²+4x

• 9x+1

• 9x+11

Tags

CCSS.HSF-BF.A.1C

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

• x²+x+9

• x²-x+9

• x²-x

• x²-x+18

Tags

CCSS.HSF-BF.A.1B

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

• 5n+1

• -5n+1

• -2n+1

• -6n-1

Tags

CCSS.HSF-BF.A.1B

(f + g) (x)

• 5x² + 3x

• 4x² + 3x

• 5x² - 3x

• 4x² - 40x

Tags

CCSS.HSF-BF.A.1B

(f - g)(x)

• 5x² + 3x

• -3x² - 13x

• 3x² + 3x

• -3x² + 3x

Tags

CCSS.HSF-BF.A.1B

Given
f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

• 11x² - 1

• 5x⁴ + 6x² - 1

• 5x² + 6x - 1

• 5x² + 8x - 1

Tags

CCSS.HSF-BF.A.1B

Given g(x) = -2x+2 and f(x) = 3x²+4, find (g+f)(-3).

• 39

• -27

• -23

• -19

Tags

CCSS.HSF-BF.A.1B