Question

F(x) =5x-7. а) f(x) =3б) f(x) =-6

Answer 1

A) 3=5x-7
5x=10
x=2
б)-6=5x-7
5x=1
x=1/5=0, 2

Answer 2

To evaluate $f(x)$ for the given function $F(x) = 5x - 7$ at different values of $x$, you substitute the given values into the function.

a) For $f(x) = 3$:

$F(x) = 5x - 7$

Set $3$ equal to $F(x)$ and solve for $x$:

$3 = 5x - 7$

Add $7$ to both sides:

$10 = 5x$

Divide by $5$:

$x = 2$

So, $f(x) = 3$ when $x = 2$.

b) For $f(x) = -6$:

$F(x) = 5x - 7$

Set $-6$ equal to $F(x)$ and solve for $x$:

$-6 = 5x - 7$

Add $7$ to both sides:

$1 = 5x$

Divide by $5$:

$x = 0.2$

So, $f(x) = -6$ when $x = 0.2$.