Question

4. Use the equations below to find the indicated values.

a. f(x) = 6x +5
i) f(2)=
b. g(x) = 3x
i) g(4) =
ii) f(-2) =
ii) g(0) =
iii) f(1/2) =
iii) g(-4)=

Answer 1

• f(2) = 17
• g(4) = 12
• f(-2) = -7
• g(0) = 0
• f(1/2) = 8
• g(-4) = -12

Explanation:

We have

`f(x) = 6x + 5`

`g(x) = 3x`

To find the value of either of these functions for a specific value of x, simply substitute that value into the corresponding function equation.

`\bold{f(2)}`
Substitute x with 2 in 6x + 5
==>
`6\cdot \:2+5=17` (Answer)

`\bold{g(4)}`
Substitute x with 4 in g(x) = 3x
==>
`3 \cdot4=12` (Answer)

`\bold{f(-2)}`
Substitute x with -2 in 6x + 5

`6\left(-2\right)+5=-7` (Answer)

`\bold{g(0)}`
Substitute x with 0 in g(x) = 3x
==>
`3\cdot0=0` (Answer)

`\bold{f((1)/(2))}`
Substitute x with
`(1)/(2)` in 6x + 5
==>
`6\cdot (1)/(2)+5 = 3 + 5 = 8` (Answer)

`\bold{g(-4)}`
Substitute x with -4 in g(x) = 3x
==>
`3\left(-4\right) = -12` (Answer)