Answer:
x = 1/4
Step-by-step explanation:
We are given the function as h(x) = - 2x + 5/4. If we have to determine h(x) = 3/4 given this function, let's substitute this value into our function and solve for 'x.' This will be our solution -
3/4 = - 2x + 5/4,
If we subtract 5/4 from either side : - 2x = - 1/2
Now divide either side by - 2 : x = 1/4
Therefore our solution is x = 1/4
Answer:
[tex]x=\frac{1}{4}[/tex]
Step-by-step explanation:
So we have the function:
[tex]h(x)=-2x+\frac{5}{4}[/tex]
And we want to find h(x)=3/4.
So, we want to find the value of x such that h(x) equates to 3/4.
So, substitute 3/4 for h(x):
[tex]\frac{3}{4}=-2x+\frac{5}{4}[/tex]
First, subtract both sides by 5/4. The right will cancel.
[tex]\frac{3}{4}-\frac{5}{4}=-2x+\frac{5}{4}-\frac{5}{4}[/tex]
Subtract on the left:
[tex]-\frac{2}{4}=-2x[/tex]
Reduce on the left:
[tex]-\frac{1}{2}=-2x[/tex]
Now, multiply both sides by -1/2. The right will again cancel:
[tex]-\frac{1}{2}(-\frac{1}{2})=-\frac{1}{2}(-2x)[/tex]
Multiply on the left:
[tex]x=\frac{1}{4}[/tex]
So, for h(x) to be 3/4, the value of x is 1/4.
And we're done!
