Finding Values of "x" corresponding to "y=a" for a function "y=f(x)"

Q. For the function, $f\left(x\right)=5x-3$, find the value of $x$ that satisfies $f\left(x\right)=2.$

1. $7$
2. $2$
3. $1$
4. None of the above

Q. A large tank initially contains 1 L of water. A tap is connected to the tank, which fills the tank at a rate of 3 L per minute. From the expression of the quantity of water in the tank as function of time, find after how many minutes of opening the tap, the quantity water in the tank is 14.5 L. It is known that there is no over flowing or loss of water from the tank.

minutes

Q. Find the value(s) of x for the relation 2y = (x+1)(x-1) at f(x) = 1 and determine whether it a function or not. Given that $x$ is an independent variable and $y$ is a dependent variable. Answer in Yes/No.

Q. For the function 2h(x) - x - 7 = 0, two ordered pairs are (a, 7.5) and (b, 6.5). Find a - b.

Q. For the function, $f\left(x\right)=3x^2$, choose the appropriate pairs:

1. $f\left(x\right)=27$
2. $x=\pm 3$
3. $f\left(x\right)=243$
4. $f\left(x\right)=3$
5. $x=\pm 9$
6. $x=\pm 1$

Q. Choose the following correct pairs:

1. $y=3$
2. Constant output
3. $x=7$
4. Relation only
5. $y=6x$
6. (0, 0) lies on it
7. $y=3x-4$
8. Function

Q. For the function $y=6-5x$, the value of $y$, when $x=1$ can be given by .

1. $f\left(1\right)$
2. $f(-1)$
3. $5$
4. $-1$

Q. A function can be described by the rule $y=x^2+4$. Determine the corresponding output for input $x=2$.

1. 8

Q. Evaluate 8y = 2x - 5 for f(x) = 0.

Q. For what input value, the output of the function $g\left(x\right)=\frac{7}{2}x-\frac{49}{2}$ is $-\mathrm{17.5.}$

1. $-2$
2. $-1$
3. $0$
4. $2$

Q. For the function $f\left(x\right)=4x+2.$
Match the following.

1. $2$
2. $-2$
3. $6$
4. $4z-2$