Question

Given

ℎ
(
�
)
=
4
�
+
5
h(x)=4x+5, solve for
�
x when
ℎ
(
�
)
=
9
h(x)=9.

Answer 1

`\huge\boxed{\sf x = 1}`

Explanation:

Given function:

h(x) = 4x + 5

Given that, h(x) = 9.

Put in the above function.

9 = 4x + 5

• Subtract 5 from both sides.

9 - 5 = 4x

4 = 4x

• Divide both sides by 4.

1 = x

OR

x = 1

`\rule[225]{225}{2}`

Answer 2

• x = 1

Explanation:

Given :-

Given function,

• h(x) = 4x + 5

To Find :-

• Solve for x when h(x) = 9

Solution :-

Substitute value of h(x) as 9 in the above function,

`\longrightarrow h(x) = 4x + 5`

`\longrightarrow 9 = 4x + 5`

Subtract 5 from both sides,

`\longrightarrow 9 - 5 = 4x - 5`

`\longrightarrow 4 = 4x`

Divide both sides by 4,

`\longrightarrow x = 1`

Therefore, The value of x is 1.