Writing and interpreting functions

g(x)=2x+2
f(x)=x-1
Find (gf)(x)

• -3x³-7x²-2x
• 2x³-2
• 2x²-2
• 2x²+4x+2

You have a coupon for $25 off the price of a TV.  The store is also having a sale of 30% off.  Write a composition function  P(x) that describes the price if you use the sale discount and then take use the coupon.

•  $P\left(x\right)=x-25$  

•  $P\left(x\right)=0.70x$  

•  $P\left(x\right)=0.70x-25$  

•  $P\left(x\right)=0.70x-17.5$  

If f(x) = x-1 and g(x) = 2x,

what is g(f(x)) ?

• 2x(x-1)

• 2x-1

• 2(x-1)

• 2xf(x-1)

The function f is given by f(x) = x^2 + 1, and the function g is given by g(x) = (x - 3) / x. Which of the following is an expression for f(g(x))?

• x^2 - 3x + x - 3

• x^2 - 2 / x^2 + 1

• x^2 - 6x + 9 / x^2 + 1

• x^2 - 8 / x^2

Find g(h(3)):

• 3
• -2
• 2
• 0

Given f(x) = $x^2+4x-5$ 
g(x) = 2x - 1 ,
h(x) = x + 4
What is ( $h\ \circ\ f$ )(x)?

• 2x+7

•  $x^2+4x-1$  

•  $2x^2+8x-11$  

• 2x+3

h(x) = x-1

g(x) = 6x+3

h(g(3)) = _______

Find f(g(5)) using f(x) = x+ 2 and g(x) = x²

• 27

• 49

• 7

• 25

Answer explanation

g(5)=5²=25

f(25)=25+2=27