Function Operations/Composition/Inverses Review

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

• x²+x+9
• x²-x+9
• x²-x
• x²-x+18

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

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

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

f(x) = 3x + 10

g(x) = x - 2

Find f(g(x))

• 3x + 4

• 3x - 4

• 3x + 8

• None of these.

p(x) = 3x + 4
q(x) = 2x²
Find q(p(-2))

• 8
• -8
• 28
• None of these.

Given the functions

 $f\left(x\right)=x^2+1$  and  $g\left(x\right)=x-2$  
find  $g\circ f$  

•  $x^2-4x+5$  

•  $x^2-1$  

•  $x^3-2x^2+x-2$  

•  $x^2+x-1$  

Answer explanation

What is the inverse of the points (1,3)(2,4)(6,2)

• (2,6)(3,1)(4,2)
• (-3,-1)(-4,-2)(-2,-6)
• (1,3)(2,4)(6,2)
• (-1,-3)(-2,-4)(-6,-2)

Find the inverse 
f(x)=2x-2
     

• f^-1(x)=1/2x+1
• f^-1(x)=-2-1/2x
• f^-1(x)=-7/3x-20/3
• 2-2/5x

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

• (1, 4) and (4, 6)
• (-4, -1) and (-6, -4)
• (-1, -4) and (-4, -6)
• (4, 1) and (6, 4)

Find the inverse of  $f(x)=4x$  

• $f^{-1}(x)=\frac{x}{4}$

• $f^{-1}(x)=4$

• $f^{-1}\left(x\right)=\frac{1}{4}$