composition functions

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

• f(g(x))= -3x²-6
• f(g(x))= -3x²+2
• f(g(x))=9x²+2
• f(g(x))= -9x²+2

Tags

CCSS.HSF-BF.A.1C

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

• g(f(x))= -3x²-6
• g(f(x))= -3x²+2
• g(f(x))=9x²+2
• g(f(x))= -9x²+2

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

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

• x² + 2x + 3
• 4x² + 3
• 2x² + 3
• 2x² + 6

Tags

CCSS.HSF-BF.A.1C

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

• 19
• 23
• -10
• None of these.

Tags

CCSS.HSF-BF.A.1C

Which expression represents g(f(x)) if 
f(x) = 2x - 8 and
g(x) = 4x

• 8x - 32
• 8x² - 32x
• 8x - 8
• 6x - 8

Tags

CCSS.HSF-BF.A.1C

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

• -42
• -26
• -18
• None of these.

Tags

CCSS.HSF-BF.A.1C

Given f(x)= -3x + 7 and g(x)=2x² - 8, find g(f(x)).

• g(f(x))= -6x² + 31
• g(f(x))= -6x² + 24
• g(f(x))=18x² - 84x + 90
• g(f(x))=9x² - 42x - 41

Tags

CCSS.HSF-BF.A.1C

• 9 - √17
• 4
• 2
• √8

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