Operations on Functions Worksheet

Operations on Functions Worksheet
• Page 1
1.
If $f$($x$) = 2$x$2 + 3 and $g$($x$) = 7$x$ + 1, find ($f$ + $g$)($x$).
 a. 2$x$2 + 7$x$ + 4 b. 7$x$2 + 4 c. 2$x$2 + 7$x$ + 3 d. 9$x$2 + 4

2.
If $g$ ($x$) = $x$2 - 14$x$ + 7, $h$ ($x$) = $x$2 - 18$x$ + 10, what is the value of ($g$ - $h$)($x$)?
 a. 32$x$ - 3 b. 4$x$ c. 4$x$ - 13 d. 4$x$ - 3

3.
If $f$ ($x$) = 7$x$, $g$ ($x$) = $x$2, what is the value of ($\frac{f}{g}$)($x$)?
 a. 7$x$3 b. $\frac{7}{x}$ c. 7$x$ d. $x$2

4.
If $f$ ($x$) = 2$x$, $g$ ($x$) = $x$2 + 4, what is the value of ($f$ × $g$)($x$)?
 a. 3$x$3 + 8$x$ b. 2$x$3 + 8$x$ c. 2$x$3 + 12$x$ d. 2$x$2 + 8$x$

5.
If $f$($x$) = 5$x$ + 9 and $g$($x$) = 4$x$ + 11, find ($f$ + $g$)($x$).
 a. 9$x$ + 20 b. 9$x$ + 19 c. $x$ + 20 d. 20$x$ + 99

6.
If $g$($x$) = $x$2 - 6$x$ + 4, then evaluate $g$(- 1).
 a. 10 b. - 1 c. 11 d. 17

7.
If $f$($x$) = 7$x$ - 4, then find $f$($z$ - 2).
 a. 7$z$ - 14 b. 7$z$ - 1 c. 7$z$ - 2 d. 7$z$ - 18

8.
If $f$($x$) = 2$x$2 - 5, then find the value of $f$(- 4).
 a. 32 b. 16 c. 27 d. -5

9.
If $f$($x$) = 2$x$ + 2, then what is the value of $f$(9)?
 a. 20 b. 23 c. 18 d. 19

If $f$($x$) = 5$x$ + 3, then what is the value of $f$(6)?