operations on functions

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

f(x) = 4x+8
g(x) = x+3,
Find f(x) * g(x)

• 4x²+24
• 4x²+20x+24
• 4x²+12x+24
• 4x²+4x+24

Tags

CCSS.HSF-BF.A.1B

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

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

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

• 182
• 40
• 61
• None of the Above

Tags

CCSS.HSF-BF.A.1C

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

• 16
• 4
• -4
• None of these.

Tags

CCSS.HSF-BF.A.1C

If  $f\left(x\right)\ =\ x+5$ and $g\left(x\right)=3x-7$ , then  $\left(g\circ f\right)\left(x\right)=$ 

•  $3x-2$ 

•  $3x+8$  

•  $3x^2+8x-35$  

•  $3x-12$  

Tags

CCSS.HSF-BF.A.1C

If  $f\left(x\right)\ =\ x^2+6x-2$ and $g\left(x\right)=x-6$ , then  $\left(f\circ g\right)\left(x\right)=$ 

•  $x^2-6x+34$ 

•  $x^2-6x-2$  

•  $x^2+6x-8$  

•  $x^2+6x-2$  

Tags

CCSS.HSF-BF.A.1C

f(x) = 3x² - 2x + 1 and g(x) = x - 4. What restrictions, if any, are there for (f/g)(x)?

• no restrictions
• x ≠ -4
• x ≠ 4
• x ≠ 0

Tags

CCSS.HSF-BF.A.1B