Question

Find x such that f(x) = 10 given f(x) = 4x+2

Answer 1

Answer:

x=2

Step-by-step explanation:

So you make the equation equal. f(x)=10 so you would put it as 10=4x+2, than you subtract two from both sides making it 8=4x and than divide both sides by 4 making it 2=x.

Answer 2

Answer:

$\boxed {\boxed {\sf x=2}}$

Step-by-step explanation:

We know that:

$f(x)=4x+2 \\f(x)= 10$

Both 4x+2 and 10 are equal to f(x). We can use substitution and set 4x+2 and 10 equal to each other.

$4x+2=10$

Now, solve for x. Perform the inverse operations to isolate x on one side of the equation.

2 is being added to 4x. The inverse of addition is subtraction. Subtract 2 from both sides of the equation.

$4x+2-2=10-2$

$4x=10-2$

$4x=8$

x is being multiplied by 4. The inverse of multiplication is division. Divide both sides of the equation by 4.

$\frac{4x}{4} =\frac{8}{4}$

$x=\frac{8}{4}$

$x=2$

For the function f(x)= 4x+2, when f(x)=20, x=2