Functions - Part 2

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

Find  $\left[f\circ\ g\right]\left(5\right)$  

• 19

• 23

• -10

• None of these.

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of g[f(-2)].

• -14

• 20

• 6

• 7

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

• f(g(x))= -6x²+31
• f(g(x))= -6x²+24
• f(g(x))=18x²-84x+6
• f(g(x))=9x²-42x-1

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

• x² + 8x + 1
• x² + 6x - 1
• 5x² + 8x - 1
• x² + 8x -1

Given:   $f\left(x\right)=3x^2$  

Find:  $f\left(m+2\right)$  

•  $3m^2+12m+12$  

•  $3m^{2\ }+12$  

•  $9m^2+36$  

•  $9m^2+24m+36$  

The inverse has been reflected over which line?

• y = x
• x = 0
• y = 0
• x = -y

Are these inverses of each other?

• No

• Yes

f(x) = -4x - 12

What is f^-1(x)?

• f^-1(x) = 4x - 3

• f^-1(x) = -1/4x - 3

• f^-1(x) = 1/4x + 3

• f^-1(x) = -4x - 3

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)

What is the inverse of the function?

 $g\left(x\right)=\left(x-7\right)^2+3$  

•  $g^{-1}\left(x\right)=\sqrt{x-3}+7$  

•  $g^{-1}\left(x\right)=\pm\sqrt{x-3}+7$  

•  $g^{-1}\left(x\right)=\pm\sqrt{x+4}$  

•  $g^{-1}\left(x\right)=\left(x-3\right)^2+7$